Solve each equation and inequality. Write the solu- tion set for each inequality in set-builder or interval notation. (a) 2x + 7x – 4 = 0 (b) 2x² + 7x – 4 < 0 (c) 2x² + 7x - 4 > 0

Q: solve each inequality. Graph the solution set.

A:

Q: Solve the inequality, describe the solution set using set-builder notation and interval notation.…

A:

Q: Solve the inequality x2 ≥x and graph the solution set.

A: Given inequality is: x2≥x Solving we get, x2-x≥0⇒xx-1≥0⇒x≥0 ; x-1≥1⇒x≥0 ; x≥1 Or otherwise we get,…

Q: Determine whether each number is a solution of the inequality. (Select all that apply.) 4x – 5 < 6x…

A: Given : 4x-5 &lt; 6x + 9

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: solve each inequality and express the solution set using interval notation. 2x - 7 &lt; 6x + 13

A: The given inequality 2x - 7 &lt; 6x + 13

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 the inequality and represent the solution graphically on number line.  5 (2x – 7) – 3 (2x + 3)…

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

A: Given:  2x+5&lt;3x-7⇒Adding  -2x   on the both…

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

A: Given: 1x-2≥3x+1 We can write, 1x-2-3x+1≥0⇒x+1-3x-2x-2x+1≥0 Here the point of discontinuity are…

Q: Find the solution set of each equation/inequality. For inequalities, write your answer using…

A: We can find the value of x as below.

Q: 8. 3x2 > 60

A: Given that

Q: Solve each incquality. Use set-builder or interval notation. (a) x² - 36 z 0 (b) 4x² + 9 > 9x (c)…

A: Given : a) x2 - 36 ≥0

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

A: we have ,  5≥6-5x3&gt;2

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

A: Given: 3x-2&gt;14 Now add 2 on both sides we get, 3x-2+2&gt;14+2⇒3x&gt;16

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

A: Given inequality is x-8&gt; 5x+3.

Q: Graph the solution set of the inequality on a number line and then write it in interval notation.…

A: We have to graph the solution set of the inequality on a number line then write in interval…

Q: Solve the inequality and graph the solution set if possible. 4 (x- 1) > 4x +3

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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 the inequality x2+x+1 &gt;0 and graph the solution set.

A:

Q: - Solve each inequality. Write the answer using interval notation, and sketch the solution on the…

A: Solutions: (a) Given that: -4 &lt;5-3x ⩽17 subtracting 5 in the above inequality we have -4-5…

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

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

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

A: Given: 14x+7≤13x-2⇒14x-13x≤-2-7⇒-112x≤-9⇒112x≥9⇒x≥108⇒[108, ∞)

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

A: Given inequality, 3x-7≥5

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: please solve and show your work

A: We have given the inequality −1 ≤ 3x + 2 ≤ 5

Q: Solve using the addition principle . Graph and write set-builder notation for the answer .  9t - 2…

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Q: Solve each inequality:(a) 3x - 7 ≤ 8 - 2x(b) x2 - x - 6 &gt; 0

A: To solve, (a) 3x - 7 ≤ 8 - 2x(b) x2 - x - 6 &gt; 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 the inequality, and express the solutions in terms of intervals whenever possible.

A: The given inequality is To find the solution of given inequality:- 2-3x5≥ 2   or   2-3x5≤- 2

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: 7. x2 + 2x +7<0

A: The given inequality is x2+2x+7&lt;0.

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 the inequality x(x + 3)²(x + 1)(x – 2)² > 0. Graph the - solution set and write it in interval…

A: Given,           xx+32x+1x-22≥0

Q: Solve the inequality, 3/(x + 3) &gt; 3/(x - 2) and graph the solution set on a real number line.

A: To solve the inequality 3x+3&gt;3x-2. Solving the above inequlaity.…

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 the inequality, and express the solutions in terms of intervals whenever possible

A: We have to solve the inequality: x2&gt;9 Rewriting the inequality, x2&gt;9x2-9&gt;0x2-32&gt;0…

Q: Solve the linear inequality, write the solution in interval notation, and graph the solution. 7(x…

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Q: solve each inequality and express the solution set using interval notation. 4(3x - 2) ≥ -8

A: We have the given inequality as 43x-2≥-8 The process of solving inequality is the same as the…

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

A: Given inequality is 7x+2&gt; -2.

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

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

A: Given: 2-11-7x-2&gt;10 We know that if x&gt;a, a&gt;0 then x∈-∞,-a∪a,∞

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. 4(2x - 1) &lt; 3(x + 5)

A: Our Aim is to solve the inequality given below:-4(2x-1)&lt;3(x+5) -(i)

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

A:

Q: solve each inequality and express the solution set using interval notation. x2 - 2x - 8 ≤ 0

A: Given inequality is : x2-2x-8≤0

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 the inequality and show the solution set on the real line: 1. x+9 > 6x 2. s3

A: