GeminiHeat wrote:
Which of the following inequalities has a solution set that, when graphed on the number line, is a single line segment of finite length?
A. \(x^4 \geq 1\)
B. \(x^3 \leq 27\)
C. \(x^2\geq 16\)
D. \(2 \leq |x| \leq 5\)
E. \(2 \leq 3x+4 \leq 6\)
IMPORTANT
This is one of those questions that require us to check/test the answer choices. In these situations,
always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top.
E) 2 ≤ 3x + 4 ≤ 6
Subtract 4 from all sides to get: -2 ≤ 3x ≤ 2
Divide all sides by 3 to get: -2/3 ≤ x ≤ 2/3
So, x can have any value from -2/3 to 2/3
So, if we were to graph the possible values of x, the line segment would have a FINITE length.
Answer: E
Cheers,
Brent