Q32. - Algebra 2

Question

Solve each inequality. 

$a+2>-2\text{ or }a-8<1$

Step-by-Step Solution

Answer

Solution of inequality is $a>-4\text{ or }a<9$

Step 1 - Write properties of inequality

Properties of inequalities are written in following table:

Step 2 - Simplify a + 2 &#62; - 2

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

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

Step 3 - Simplify a - 8 &#60; 1

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

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

Thus, solution is $a>-4\text{ or }a<9$