Question

$x + 10 \geq 12$
$x - 25 > -100$
$x - 15 \leq -20$
$x + 22 < 26$
$x - 26 \leq -108$
$x - 52 < 52$
$x + 37 \geq -120$
$x - 4 > -8$
$x - 8 < 18$
$x - 6 > -27$
$x - 18 \leq 22$
$x - 11 \geq 22$
$x - 38 > 56$

Explanation:

Step1: Isolate x, add 10 to both sides

$x + 10 - 10 \geq 12 - 10$

Step2: Simplify to find x

$x \geq 2$

Step1: Isolate x, add 25 to both sides

$x - 25 + 25 > -100 + 25$

Step2: Simplify to find x

$x > -75$

Step1: Isolate x, add 15 to both sides

$x - 15 + 15 \leq -20 + 15$

Step2: Simplify to find x

$x \leq -5$

Step1: Isolate x, subtract 22 from both sides

$x + 22 - 22 < 26 - 22$

Step2: Simplify to find x

$x < 4$

Step1: Isolate x, add 26 to both sides

$x - 26 + 26 \leq -108 + 26$

Step2: Simplify to find x

$x \leq -82$

Step1: Isolate x, add 52 to both sides

$x - 52 + 52 < 52 + 52$

Step2: Simplify to find x

$x < 104$

Step1: Isolate x, subtract 37 from both sides

$x + 37 - 37 \geq -120 - 37$

Step2: Simplify to find x

$x \geq -157$

Step1: Isolate x, add 4 to both sides

$x - 4 + 4 > -8 + 4$

Step2: Simplify to find x

$x > -4$

Step1: Isolate x, add 8 to both sides

$x - 8 + 8 < 18 + 8$

Step2: Simplify to find x

$x < 26$

Step1: Isolate x, add 6 to both sides

$x - 6 + 6 > -27 + 6$

Step2: Simplify to find x

$x > -21$

Step1: Isolate x, add 18 to both sides

$x - 18 + 18 \leq 22 + 18$

Step2: Simplify to find x

$x \leq 40$

Step1: Isolate x, add 11 to both sides

$x - 11 + 11 \geq 22 + 11$

Step2: Simplify to find x

$x \geq 33$

Step1: Isolate x, add 38 to both sides

$x - 38 + 38 > 56 + 38$

Step2: Simplify to find x

$x > 94$

Answer:

1. $x \geq 2$
2. $x > -75$
3. $x \leq -5$
4. $x < 4$
5. $x \leq -82$
6. $x < 104$
7. $x \geq -157$
8. $x > -4$
9. $x < 26$
10. $x > -21$
11. $x \leq 40$
12. $x \geq 33$
13. $x > 94$