Question

The solution set of the system of inequalities \( 5-4x \leq -7 \) or \( 5-4x \geq 7,\ x \in R \) is

• A. \( (-\infty,-\frac{1}{2}) \cap [3,\infty) \)
• B. \( (-\infty,-\frac{1}{2}) \cup (3,\infty) \)
• C. \( (-\infty,-\frac{1}{2}] \cap (3,\infty) \)
• D. \( (-\infty,-\frac{1}{2}] \cup [3,\infty) \)

Hint:

When solving inequalities, remember that dividing or multiplying by a negative number reverses the inequality sign. For compound inequalities joined by “or”, take the union of the solution sets.

Answer 1

The Correct Option is D