Question

1. which of the following describes an inequality solved by adding 2 to both sides?

a. $x - 2 < 5$
b. $x + 2 > 5$
c. $x + 2 < 5$
d. $x + 22 > 5$

Explanation:

Step1: Analyze option a

To isolate $x$ in $x-2<5$, we add 2 to both sides:
$x-2+2<5+2$

Step2: Analyze option b

To isolate $x$ in $x+2>5$, we subtract 2 from both sides:
$x+2-2>5-2$

Step3: Analyze option c

To isolate $x$ in $x+2<5$, we subtract 2 from both sides:
$x+2-2<5-2$

Step4: Analyze option d

To isolate $x$ in $x+22>5$, we subtract 22 from both sides:
$x+22-22>5-22$

Answer:

a. $x - 2 < 5$