Question

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

a. $x + 22 > 5$

b. $x + 2 < 5$

c. $x + 2 > 5$

d. $x - 2 < 5$

Explanation:

Step1: Analyze option a

Inequality: $x + 22 > 5$. To isolate $x$, subtract 22 from both sides. Not adding 2.

Step2: Analyze option b

Inequality: $x + 2 < 5$. To isolate $x$, subtract 2 from both sides. Not adding 2.

Step3: Analyze option c

Inequality: $x + 2 > 5$. To isolate $x$, subtract 2 from both sides. Not adding 2.

Step4: Analyze option d

Inequality: $x - 2 < 5$. To isolate $x$, add 2 to both sides: $x - 2 + 2 < 5 + 2$ → $x < 7$. This matches the requirement.

Answer:

d. $x - 2 < 5$