Question

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

A) x ≤ -3.5
B) x ≥ -3.5
C) x ≤ -3.75
D) x ≥ -3.75

Answer 1

To solve the linear inequality -4x ≥ 14, divide both sides by -4 and flip the inequality sign. The solution is x ≤ -3.5, expressed in interval notation as (-∞, -3.5].

Step-by-step explanation:

To solve the linear inequality -4x ≥ 14, we need to divide both sides of the inequality by -4. However, when we divide by a negative number, we need to flip the inequality sign. So, the inequality becomes x ≤ -3.5. We express this solution using interval notation as (-∞, -3.5].

Therefore, the correct answer is A) x ≤ -3.5.

However, when we divide by a negative number, we need to flip the inequality sign. So, the inequality becomes x ≤ -3.5. We express this solution using interval notation as (-∞, -3.5].

Therefore, the correct answer is A) x ≤ -3.5.