Solve the compound inequality. Write the solution in interval notation.
-$8 \leq 3 x - 1 \leq 14$
A)[-5, -3]
B)(3, 5)
C)(-5, -3)
D)[3, 5]

Question

Quizplus · Accepted Answer

To solve the compound inequality $8 \leq 3x - 1 \leq 14$, first add 1 to all parts of the inequality to isolate the term with $x$: $9 \leq 3x \leq 15$. Then, divide all parts by 3 to solve for $x$: $3 \leq x \leq 5$. This corresponds to the interval notation $[3, 5]$.

Solve the Compound Inequality 8≤3x−1≤148 \leq 3 x - 1 \leq 148≤3x−1≤14

Solve the Compound Inequality $8 \leq 3 x - 1 \leq 14$