Question

What are the solutions of x/3 > -1?

a) x > -3
b) x < -3
c) x < 3
d) x > 3

Answer 1

The solution to the inequality x/3 > -1 is x > -3, by multiplying both sides of the inequality by 3.

Step-by-step explanation:

To solve the inequality x/3 > -1, we can start by isolating x on one side. To do this, we multiply both sides of the inequality by 3 (since 3 is the denominator of the fraction with x), which will not change the direction of the inequality as we are multiplying by a positive number. Thus, we obtain:

x > -3

This means the solution to the inequality is x values that are greater than -3. Therefore, the correct answer to the question is a) x > -3.