Bright Haynes
10/04/2023 · Junior High School
Solve: \( 5 \leq 3 x+8<14 \) Give your answer as an interval. \( \square \) Submit Question
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Tutor-Verified Answer
Step-by-step Solution
Solve the equation \( 5 \leq 3x+8<14 \).
Solve the system of inequalities by following steps:
- step0: Solve for \(x\):
\(\left\{ \begin{array}{l}5\leq 3x+8\\3x+8<14\end{array}\right.\)
- step1: Solve the inequality:
\(\left\{ \begin{array}{l}x\geq -1\\x<2\end{array}\right.\)
- step2: Find the intersection:
\(-1\leq x<2\)
The solution to the inequality \(5 \leq 3x+8<14\) is \(-1 \leq x < 2\).
Therefore, the answer as an interval is \([-1, 2)\).
Quick Answer
\([-1, 2)\)
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