Solve each inequality and give the solution in interval notation: 8 – 4|5æ + 7| < – 16 -2 – 3|7x – 1| > - 29

Q: solve each inequality and express the solution set using interval notation. -5x - 2 &lt; -14

A: Here given inequality -5x-2&lt;-14

Q: Solve each inequality algebraically as attached.

A: x-3x+1&gt;0 On simplification, we get ⇒x-3&gt;0  &amp;  x+1&gt;0  or  x-3&lt;0  &amp;…

Q: solve each inequality and express the solution set using interval notation. 7x - 4 &gt; 5x - 8

A: It is given that, Therefore after solving the inequalities on both side, you'll get,

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 write the solution in interval notation.  | x − 4 | ≥ 8 | 3/4 x − 5 | +…

A: We know that

Q: Solve each inequality algebraically as attached.

A: Given: x-1x-2x-3≤0

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. ((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 the given inequality and write the solution in interval notation: -7z < 56 O [-8, )

A: Here we have given an inequality. -7x &lt; 56 Now on dividing both sides of the inequality by 7 we…

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. x2 + 3x - 10 &gt; 0

A: Given x2+3x-10&gt;0 Factorizing it we have,…

Q: 30. 2 |v – 7| – 4 > 42

A: Given:- 2|v-7| -4≥ 42 To find:- Solution of given inequality in interval notation

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 for each of the inequalities using a sign chart. For the answer, state in interval notation.…

A: solution:-

Q: Solve each inequality algebraically as attached.

A: Solve each inequality algebraically as attached. x4&gt;1

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 give your answers in interval notation: |6x – 2| 2 -

A: Given:- 1)  |6x-2|&lt;9 2) |8x-6|≥ 2 To find:- Solution of given inequalities

Q: Solve the inequality, and express the solutions in terms of intervals whenever possible.

A: Given a inequality, -2&lt;|x|&lt;4 To solve the inequality.

Q: solve each inequality and express the solution set using interval notation. x2 - 7x + 10 &gt; 0

A: Inequality is defined as mathematical expression where the sides are not equal. It compares two…

Q: Solve the inequality, and express the solutions in terms of intervals whenever possible.

A: Given, 4x2+4&lt;0

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

A: Given :            3x+1x-4 &lt; 2 To find :   Express the solution set using interval notation.…

Q: solve each inequality and express the solution set using interval notation. 0.04x + 0.055(x +…

A: The given inequality is 0.04x+0.055x+10000≥645. Solve this as follows.

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: II. Solve each inequality using 5 steps. x+12 1. 5x+4 2x-4 S 2. 3x+2

A: The given inequality,1. x+125x+4≥02. 2x-43x+2≤3

Q: solve each inequality and express the solution set using interval notation. -5x &gt; 10 - x

A: An inequality is a relation between two expression that may be greater than, greater than or equal…

Q: solve each inequality and express the solution set using interval notation. -3x - 4 ≤ x + 12

A: We have to solve the inequality and we have to express the solution set using interval notation:…

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. ((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 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. (6 - 2x) ≥ 10

A: To solve the inequality

Q: 3 36. 4 x – 5 +1< 16

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 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. 4(2x - 1) - 3(3x + 4) ≥…

A: Given:  4(2x-1)-3(3x+4)≥0To obtain: solution set in the interval…

Q: Solve each inequality and give the solution in interval notation: 2 – 6|7x + 1| - 59

A: We have to solve

Q: solve each inequality and express the solution set using interval notation. 0.05x + 0.07(800 - x) ≥…

A: Given that, the inequality  0.05x + 0.07(800 - x) ≥ 52 To solve the inequality and find the solution…

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. -3 ≤ (5x + 7) ≤ 27

A: Inequalities can be solved keeping following rules in mind. A number can be subtracted or added…

Q: Solve the inequality and write your answer in interval notation. 10 + 0.9x < 0.2x + 8.1

A: Given:  10+0.9x&lt;0.2x+8.1 To Find: To solve the given inequality and to write the answer in…

Q: solve each inequality and graph its solution set on a number line. (x + 2)(x + 1)(x - 2) &gt; 0

A: given,          x+2x+1x-2&gt;0

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. -2(3x + 2) ≤ 18

A: Divide both sides of the inequality -23x+2≤18 by -2. Remember that multiplying or dividing with…

Q: Solve each inequality and give the solution in interval notation: - 4 – 9|2x + 9| - 5

A: we have to solve the given inequalities using rules of modulus function. The entire solution is…

Q: solve each inequality and express the solution set using interval notation. 3/5 x - 1/2 x &lt; 1

A: Given that the inequality 3/5 x - 1/2 x &lt; 1 We need to simplify and solve for x

Q: solve each inequality and express the solution set using interval notation. -3(2x + 1) ≥ 12

A: Given: -32x+1≥12   To find: The solution set of inequality using interval notation