Solve each inequality and graph the solutions on the number line.

Q: solve each inequality and express the solution set using interval notation. 2x - 3 > 7x + 22

A: Given- 2x-3>7x+22 To solve- The above inequality and express the solution set using the interval…

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

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

Q: solve each inequality. |2 - 3x| < 5

A: solve each inequality. |2 - 3x| < 5

Q: solve each inequality. |x + 1| < 8

A: Given inequality is: |x + 1| < 8 Then we get, -8 < x + 1 < 8

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

A: The given inequality 2x - 7 < 6x + 13

Q: solve each inequality. 4 - x2 < 0

A: Consider the given inequality as 4-x2<0

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

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

Q: solve each inequality. |x + 3| < 5

A: The given inequality x+3<5 Apply absolute rule:  If |u| < a, a>0 then -a < u < a

Q: 94. 7<3-2x < 11

A:

Q: solve each inequality and graph the solution. |x| &gt; 3

A: solve each inequality and graph the solution. |x| &gt; 3

Q: solve each inequality. |5x - 2| ≥ 10

A: The absolute inequality means the variable part is inside the modulus. Let x be the variable, then…

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. 3x - 2 &lt; 12

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

Q: solve each inequality. |2x - 1| + 1 ≤ 6

A: Solve the given inequality: 2x-1+1≤6

Q: 99. -7x + 10 < 31or10x + 20 < -50

A:

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. 24(x2 - 36) ≥ 0

A: We have to solve the inequality: 24x2-36≥0 Solving the given inequality, 24x2-36≥0x2-62≥0x-6x+6≥0…

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. 5x2 + 20 &gt; 0

A: Given inequality 5x2+20&gt;0

Q: Solve each inequality, graph the solution, and express it interval notation.2x +8 &gt; 5x − 7 and 5x…

A:

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. (6 - 2x) ≥ 10

A: To solve the inequality

Q: Solve each inequality. 5. 73x+4 < 492x+:

A:

Q: Solve and graph the solution set on a number line:18&lt; |6 - 3x | .

A: Given: 6-3x&gt;18 we know that if x-a&gt;b then x-a&lt;-b∪x-a&gt;b

Q: solve each inequality. 2x3 + 4x2 ≤ 0

A: To solve the given inequality                        2x3+4x2≤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 each inequality. 2x2 - 18 ≥ 0

A: Given inequality is: 2x2-18≥0 We have to solve this inequality for x.

Q: solve each inequality. x2 + 3x - 54 &lt; 0

A: We have the given inequality as x2+3x-54&lt;0 On solving the left hand side part by factorising the…

Q: practice question 14

A: Consider the given inequality.

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. 2x2 + x - 21 ≤ 0

A: Given        2x2+x-21≤0

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. |2x - 1| ≤ 9

A: Given:             2x-1≤9 When solving an inequality with absolute value we really havetwo…

Q: solve each inequality and express the solution set using interval notation. |4x + 5| ≥ 6

A: Given- 4x+5≥6 To express- Above inequality and express the solution set using interval notation.

Q: solve each inequality, graph the solution on the number line, and write the solution in interval…

A:

Q: solve each inequality. |4x + 3| - 2 ≤ 5

A: Given:                   4x+3-2≤5 Add 2 both sides                  4x+3-2+≤5+2 Simplify:…

Q: Solve, graph the solution on a number line and write the solution in interval notation:

A:

Q: solve each inequality and graph the solution. |x| ≤ 2

A: Given: x≤2

Q: solve each inequality and graph the solution. |x| &lt; 5

A: The given inequality is  |x| &lt; 5   Absolute rule:  If |u| &lt; a, a&gt;0 then -a &lt; u &lt; a

Q: solve each inequality. |x + 7| - 3 ≥ 4

A: x+7-3≥4 Add 3 both sides  x+7-3+3≥4+3x+7≥7 Apply absolute rule : If u≥a then u≤-a or u≥a.

Q: Solve and graph the solution on a number line

A: To solve and graph the solution of the provided inequality 9+2y≤4y+5. No, first solve the inequality…

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 all

A:

Q: solve each inequality. |x - 2| &gt; 6

A: Inequality: |x-2|&gt;6We will transform the inequality into equality sign.(x-2)=6x=8x&gt;8

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…