Question

for problems 9-13, determine all possible solutions.

1. $x + 5 = 12$
2. $x + 5 > 12$
3. $x + 5 < 12$
4. $x + 5 \geq 12$
5. $x + 5 \leq 12$

for problems 14-17, write an inequality to represent the solutions shown on the graph.
14.
15.
16.

Explanation:

Step1: Isolate x (subtract 5)

$x+5-5=12-5$

Step2: Simplify to find x

$x=7$

Step1: Isolate x (subtract 5)

$x+5-5>12-5$

Step2: Simplify inequality

$x>7$

Step1: Isolate x (subtract 5)

$x+5-5<12-5$

Step2: Simplify inequality

$x<7$

Step1: Isolate x (subtract 5)

$x+5-5\geq12-5$

Step2: Simplify inequality

$x\geq7$

Answer:

1. $x=7$
2. $x>7$
3. $x<7$
4. $x\geq7$
5. $x\leq7$
6. $x<6$
7. $x>-14$
8. $x\geq1.5$