Question

According to the properties of inequality, when should the inequality symbol be reversed when solving a two-step inequality in the form below?

a x + b greater-than c
when a is positive
when a is negative
when b is positive
when b is negative

Answer 1

b

Explanation:

Answer 2

• B. when a is negative

Explanation:

Inequality given:

• ax + b > c

When solving we do steps:

• ax > c - b
• x > (c - b)/a

At the second step both sides divided by a.

When a is positive the inequality symbol remains as is, when a is negative we have to divide both sides by -1 as well. This will reverse the inequality symbol.

Correct answer choice is B.