Question

Solve the linear inequality. Express the solution using interval notation.−4x≥14.

A) x≤−3.5
B) x≤−2
C) x≤−4
D) x≤3.5

Answer 1

To solve the inequality -4x ≥ 14, divide both sides of the inequality by -4, and remember to flip the inequality symbol. The solution is x ≤ -3.5.

Step-by-step explanation:

To solve the inequality -4x ≥ 14, we need to isolate x. Here are the steps:

1. Divide both sides of the inequality by -4. This changes the direction of the inequality, so remember to flip the inequality symbol: x ≤ -14/-4.
2. Simplify the expression: x ≤ -3.5.

The solution to this inequality is x ≤ -3.5.