Solve, graph, and give interval notation for the inequality: - 12 < 4x – 4 < - 8 + + + -5 -4 -3 -2 -1 1 2 4 3.

Q: solve each inequality and graph its solution set on a number line. (x - 2)(x + 3) &gt; 0

A: (x - 2)(x + 3) &gt; 0 To find the solution set , replace &gt; symbol by = sign (x - 2)(x + 3) = 0…

Q: solve each inequality and express the solution set using interval notation. -2 - 4x &gt; -2

A: Solution: Consider the given inequality is  -2 -4x &gt; -2  Adding 2 on both sides we have -2 -4x +2…

Q: solve each inequality and express the solution set using interval notation. 5(x - 6) - 6(x + 2) &lt;…

A: Given: 5(x−6)−6(x+2)&lt;0

Q: solve each inequality and express the solution set using interval notation. (2x + 7)/12 - (3x - 8)/8…

A: The inequality given to us is 2x+712-3x-88≤13

Q: Solve each inequality algebraically as attached.

A: A inequality is an equation that uses an inequality sign instead of an equal sign and thus gives a…

Q: graph the solution set for each compound inequality, and express the solution sets in interval…

A: Given inequalities are x&gt;-2 and x&gt;2. To graph the solution set for each inequality. Solution:…

Q: solve each inequality and graph its solution set on a number line. x(x + 2)(x - 4) ≤ 0

A: We can solve the inequality by adding or subtracting numbers from the inequality , multiply or…

Q: solve each inequality and express the solution set using interval notation. (1/3)a - (3/8)a &gt; 1/6

A: 13a-38a&gt;16Solving the above inequality13a-38a&gt;168a-9a24&gt;16-a24&gt;16Multiply both side by…

Q: solve each inequality and express the solution set using interval notation. (2x - 1)/(x + 3) &lt; 1

A: Our Aim is to solve the inequality given below:-2x-1x+3&lt;1  -(i)

Q: solve each inequality and express the solution set using interval notation. ((3x + 1)/(x - 1)) ≤ 0

A: Given: The inequality 3x+1x-1≤0 . The solution set for the given inequality can be obtained as,…

Q: solve each inequality and graph its solution set on a number line. (2x - 1)(3x + 7) ≥ 0

A: Solution: Consider the given inequality is: 2x-13x+7≥0 we have  If x.y ≥0 ⇒ x ≥0 and y≥0 Therefore…

Q: solve each inequality and express the solution set using interval notation. 2x2 + x - 15 ≥ 0

A: We have the inequality of the form of a quadratic equation. A quadratic equation is nothing but a…

Q: solve each inequality and express the solution set using interval notation. 3x/(x - 5) &lt; 2

A: Given, 3xx-5&lt;2

Q: solve each inequality and express the solution set using interval notation. -4(2x - 1) - 3(x + 2) ≥…

A: Given inequality - -42x-1-3x+2 ≥ 0-8x+4-3x-6 ≥ 0-11x-2 ≥ 0-2 ≥ 11x-211 ≥ xor,x ≤ -211…

Q: solve each inequality and express the solution set using interval notation. 2(x - 1) - 3(3x + 1) ≥…

A: Given:2x-1 -33x+1≥-6x-5

Q: solve each inequality and express the solution set using interval notation. 3x - 2 &lt; 12

A: solve each inequality and express the solution set using interval notation. 3x - 2 &lt; 12

Q: solve each inequality and express the solution set using interval notation. 3(4x - 5) ≥ 4(1 - 2x)

A: Given inequality is: 34x-5≥41-2x We have to solve this inequality for x.

Q: solve each inequality and express the solution set using interval notation. (x + 2)/(x - 7) ≥ 0

A: Given x+2x-7≥0 To solve the inequality and express the solution set in interval notation. For…

Q: 21 <3 + 9x ++++ -5-4-3-2-1 0 1 2 3 4 5

A: Given:- 21≤ 3 + 9x To find:- Solve given inequality and graph solution on number line

Q: solve each inequality and express the solution set using interval notation. 5(x - 4) - 6(x + 2) &lt;…

A: Given: 5x-4-6x+2&lt;4 For finding solution of given inequality, we simplify it

Q: solve each inequality and express the solution set using interval notation. -5(3x + 4) &lt; -2(7x -…

A: We have to solve the inequality and we have to express the solution in interval notation where…

Q: solve each inequality and express the solution set using interval notation. -3(2x + 1) &gt; -2(x +…

A: Given inequality: -32x+1&gt;-2x+4

Q: solve each inequality and express the solution set using interval notation. -5(x - 1) + 3 &gt; 3x -…

A: Given inequality, -5x-1+3&gt;3x-4-4x

Q: solve each inequality and express the solution set using interval notation. (3x + 7) &gt; 10 or (4x…

A: Given: To solve inequality and express the solution set using interval notationAlso given (3x + 7)…

Q: solve each inequality and express the solution set using interval notation. 3(4x - 3) ≤ -11

A: To solve the given inequality and express the solution set using interval notation. The inequality…

Q: solve each inequality and express the solution set using interval notation. 3(x - 2) - 5(2x - 1) ≥ 0

A: Consider the given inequality 3x-2-52x-1≥0

Q: solve each inequality and express the solution set using interval notation. 7(x + 1) - 8(x - 2) &lt;…

A: 7(x + 1) - 8(x - 2) &lt; 0

Q: solve each inequality and express the solution set using interval notation. ((2x - 1)/(x + 1)) &gt;…

A: A inequality is an equation that uses an inequality sign instead of an equal sign and thus gives a…

Q: solve each inequality and express the solution set using interval notation. 3x2 + 14x - 5 &gt; 0

A: Given inequality is, 3x2+14x-5&gt;0.   It is simplified as follows:…

Q: solve each inequality and graph its solution set on a number line. (3x + 2)(2x - 3) ≥ 0

A: We have to solve the inequality and graph the solution set on number line: 3x+22x-3≥0 Drawing above…

Q: solve each inequality and express the solution set using interval notation. |2x - 1| &lt; 5

A: Given, 2x-1&lt;5

Q: solve each inequality and express the solution set using interval notation. 6x - 2 &gt; 4x - 14

A: The given inequality is 6x-2&gt;4x-14 To solve the inequality and provide solution set using…

Q: solve each inequality and express the solution set using interval notation. 3(x + 2) + 4 &lt; -2x +…

A: The given inequality is, 3x+2+4&lt;-2x+14+x

Q: graph the solutions of each compound inequality. x &gt; 2 or x ≤ -3

A: Inequality x&gt;2 means that x will take all the value which are greater than 2 and inequality x≤-3…

Q: solve each inequality and express the solution set using interval notation. ((x - 4)/(x + 6)) ≥ 0

A: Consider the given inequality. (x - 4)(x + 6)≥0 Put the denominator equal to zero. x+6=0x=-6 and,…

Q: solve each inequality and express the solution set using interval notation. 3(x + 2) - 4(x - 1) &lt;…

A: We have to solve the given inequality and we have to write the solution in interval notation:…

Q: Write the solution set of each inequality using interval notation.

A:

Q: Solve each inequality and give the solution in interval notation: 8 – 4|5æ + 7| - 29

A:

Q: solve each inequality and express the solution set using interval notation. 9x - 2 &lt; 3(3x + 10)

A: We have to solve the inequality and we have to express the answer is interval notation:…

Q: solve each inequality and express the solution set using interval notation. 4(x - 3) ≤ -2(x + 1)

A: The given inequality is, 4x-3≤-2x+1 The objective is to find the solution set of the inequality in…

Q: solve each inequality and express the solution set using interval notation. 2x2 + x - 21 ≤ 0

A: Given        2x2+x-21≤0

Q: solve each inequality and express the solution set using interval notation. (n + 1)/4 + (n - 2)/12…

A: We have to solve given inequality n+14+n-212&gt;16 Then,…

Q: Solve each inequality separately. 2x – 3 <7 or 35 – 4x < 3 2х < 10 -4x < -32 x < 5

A: Given inequality, 2x-3&lt;7 Now solving the given inequality,…

Q: solve each inequality and graph its solution set on a number line. (x + 1)(x + 4) &lt; 0

A: (x+1)(x+4)&lt;0which meansx+1&lt;0x&lt;-1orx+4&lt;0x&lt;-4which is not possible let take…

Q: solve each inequality and express the solution set using interval notation. -3(3x + 2) - 2(4x + 1) ≥…

A: The given inequality equation is, -33x+2-24x+1≥0 To solve the given inequality, we have to simplify…

Q: solve each inequality and express the solution set using interval notation. |3x - 4| &lt; 8

A: To solve: The inequality 3x-4&lt;8. Concept used: If u&lt;a,  a&gt;0 then u&gt;-a and u&lt;a.…

Q: solve each inequality and express the solution set using interval notation. 2x - 1 &gt; 6

A: The given inequality: 2x - 1 &gt; 6

Q: solve each inequality and express the solution set using interval notation. ((3x - 1)/(x + 2)) &gt;…

A: Given inequality, 3x-1x+2&gt;0 The fraction is greater than zero, therefore both the numerator and…

Q: solve each inequality and express the solution set using interval notation. |5x + 2/3| &lt; -4

A: Given inequality is  5x+23&lt;-4

Q: graph the solutions of each compound inequality. x &lt; 2 or x &gt; -1

A: The given compound inequality is, x&lt;2   or    x&gt;-1 The objective is to sketch the solutions of…