Solve each inequality. Then graph the solution set on a number line.

Q: solve each inequality and graph the solution. |x| < 1

A: We have to solve the inequality and graph the solution set: x<1 We know that for any modulus…

Q: Solve each inequality. Graph each solution p2 - 16p > 0

A:

Q: Solve each inequality. Graph each solution : m-(3m-2) + 6<7m-19

A: The given inequality is m-3m-2+6<7m-19.

Q: Solve each inequality. Graph each solution. 2k2 + 7k - 4 > 0

A: To solve the inequality 2k2+7k-4>0 and then to graph the solution. Solution: Solving the…

Q: Solve each inequality. Graph each solution.(m - 3)(m + 5) < 0

A: we have the equation  (m - 3)(m + 5) < 0

Q: Solve each inequality. Graph each solution. x2 - 16 > 0

A: Given x2-16>0

Q: solve each inequality.   4x2+9<6x

A: 4x2+9<6x Solve inequality  first we need to rid 6x from right side  So subtract 6x from both…

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, expressing the solution set in interval notation, and graph the solution set.…

A: To solve the inequality: 3x-4≤5 We know that if x≤a then -a≤x≤a. Solving the inequality.…

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: Solve each inequality. Graph the solution set and write it in interval notation. -8x ≤16

A: The inequality can be defined as a mathematical statement following the order relationship, the…

Q: solve each inequality algebraically.

A: We can solve the inequalities like any other equations . To get  the solution of the inequality we…

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 graph the solution set. a. m-426

A: since you have asked multiple questions in a single request so we will be answering only first…

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

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

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. |(3x - 1)/4| &gt; 3

A: Given: 3x-14&gt;3 We know that solution of inequalityx&gt;a is given by x∈-∞,-a∪a,∞

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

A:

Q: solve each inequality. -3x2 - 27 ≥ 0

A: Given equation of inequality --3x2-27 ≥ 0-27 ≥ 3x23x2 ≤ -27x2 ≤ -273x2 ≤ -9

Q: solve each inequality. 5x2 + 20 &gt; 0

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

Q: Solve each inequality. Graph each solution. 3x2 + 2x &gt; 1

A: We have to solve the inequality: 3x2+2x&gt;1 Rewriting the inequality, 3x2+2x&gt;13x2+2x-1&gt;0…

Q: Solve each inequality. Graph each solution x3 + 7x2 + 12x&lt;= 0

A: Given:          x3 + 7x2 + 12x ≤ 0   To graph each solution

Q: solve each inequality. |1 - 2x| &lt; 2

A: We have to solve the inequality 1-2x&lt;2. Removing the absolute sign, would require considering…

Q: solve each inequality and graph the solution. |x - 2| &lt; 4

A:

Q: 7. x2 + 2x +7<0

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

Q: Solve each inequality.Graph the solution set.

A: Given,

Q: solve each inequality. |x - 2| + 4 ≥ 10

A: Solution: Consider the given inequality: x-2 + 4 ⩾ 10 Subtract 4 from both sides we have x-2 + 4 -4…

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

A:

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

A: To solve the given inequality                        2x3+4x2≤0

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. 4x2 + 20x + 25 ≤ 0

A: To solve the inequality: 4x2+20x+25≤0 Solution: 4x2+20x+25≤0 On simplifying further we get:…

Q: solve each inequality and graph the solution. |x - 3| ≥ 2

A: Given inequality x-3≥2 Solve Absolute Value. x-3≥2 We know either x-3≥2 or x-3≤-2

Q: solve each inequality. 4x2 - x - 14 ≤ 0

A: We have to solve the inequality: 4x2-x-14≤0 Solving inequality by factorization,…

Q: Solve each inequality, graph the solution, and give interval notation of solution2x − 5 &gt; 3 or 4…

A:

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. 3x3 + 12x2 &gt; 0

A: We can solve the inequality by isolating terms , we can add or subtract numbers to both sides and we…

Q: Solve each inequality. Graph the solution set and write it in interval notation. 7x + 3 &lt; 9x - 3x

A: Given inequality is  7x+3&lt;9x-3x

Q: solve each inequality. |2x - 1| ≤ 9

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

Q: 6. 162x-5 > 642x-3

A: It is inequality problem.

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 each inequality and graph the solution. |x + 1| &gt; 3

A: Given inequality is x+1&gt; 3.

Q: solve each inequality and graph the solution. |x - 2| ≥ 1

A: The given inequality can be solved by removing the bars and then solving. The graph of a solution…

Q: -2x-3<-5

A:

Q: solve each inequality, expressing the solution set in interval notation, and graph the solution set.…

A: The given inequality is |5 - 2x| &gt; 5 Absolute rule:  If |u| &gt; a, a&gt;0 then u &lt; -a   or…

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 and graph the solution. |x| ≤ 4

A: Given the inequality  x≤4 we have two cases  x≤4 and  x≥-4 The value of x is less than or equal to 4…

Q: solve each inequality. |7x - 6| ≥ 22

A: Given, 7x-6≥22

Q: 5. -x2 < 10

A: