Question

Solve for $x$ : $-3x+5<101$

• A. $x>32$
• B. $x>-32$
• C. $x<-32$
• D. $x<32$

Answer 1

The correct option is B $x>-32$

The correct method to solve this problem is to subtract 5 from both sides.
$-3x+5-5<101-5$
$-3x<96$
Then divide both sides by negative 3. When dividing by a negative, it is important to remember to change the inequality sign. In this case, the sign goes from a less than to a greater than sign. This gives the answer $x>-32$
The correct answer is option B.