Chapter 1: Q32. (page 44)

Solve each inequality.
$a + 2 > - 2 or a - 8 < 1$

Short Answer

Expert verified

Solution of inequality is $a > - 4 or a < 9$

Step by step solution

- Write properties of inequality

Properties of inequalities are written in following table:

- Simplify a+2>-2

To simplify given inequality, use subtraction property of inequalities. Subtract by same number does not change the sign of inequality as shown below

$\begin{matrix} a + 2 - 2 > - 2 - 2 \\ a > - 4 \end{matrix}$

- Simplify a-8<1

To simplify given inequality, use addition property of inequalities. Add by same number does not change the sign of inequality as shown below

$\begin{matrix} a - 8 + 8 < 1 + 8 \\ a < 9 \end{matrix}$

Thus, solution is $a > - 4 or a < 9$

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Solve each inequality.
$a + 2 > - 2 or a - 8 < 1$

Short Answer

Step by step solution

- Write properties of inequality

- Simplify a+2>-2

- Simplify a-8<1

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Solve each inequality.a+2>-2ora-8<1

Short Answer

Step by step solution

- Write properties of inequality

- Simplify a+2>-2

- Simplify a-8<1

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Geometry

Mechanics Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve each inequality.
$a + 2 > - 2 or a - 8 < 1$