Question

Which of the following inequalities is equivalent to -2x < 5 ?

A. x > -(2)/(5)
B. x > -10
C. x < -(5)/(2)
D. x > -(5)/(2)
E. x < -10

Answer 1

To solve the inequality -2x < 5, we divide both sides by -2, remembering to reverse the inequality symbol. The solution is x > -\(rac{5}{2}\), which corresponds to answer choice D.

Step-by-step explanation:

The inequality -2x < 5 can be solved for x by dividing both sides of the inequality by -2. Remember that dividing or multiplying both sides of an inequality by a negative number reverses the inequality symbol. Therefore, when we divide both sides by -2, we get:

x > -\(rac{5}{2}\)

This corresponds to answer choice D. x > -\(rac{5}{2}\).