Bryant Chen
10/23/2023 · High School
Solve the inequality. Express your answer using set notation and interval notation. Graph the solution set. \( -6 \leq 6-4 x \leq 3 \) The solution is expressed in set notation as \( \{x \mid \square\} \) The solution is expressed in interval notation as Choose the correct graph of the solution set below.
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Solve the equation \( -6 \leq 6-4x \leq 3 \).
Solve the system of inequalities by following steps:
- step0: Solve for \(x\):
\(\left\{ \begin{array}{l}-6\leq 6-4x\\6-4x\leq 3\end{array}\right.\)
- step1: Solve the inequality:
\(\left\{ \begin{array}{l}x\leq 3\\x\geq \frac{3}{4}\end{array}\right.\)
- step2: Find the intersection:
\(\frac{3}{4}\leq x\leq 3\)
The solution to the inequality \( -6 \leq 6-4x \leq 3 \) is \( \frac{3}{4} \leq x \leq 3 \).
Expressed in set notation: \( \{x \mid \frac{3}{4} \leq x \leq 3\} \)
Expressed in interval notation: \( \left[\frac{3}{4}, 3\right] \)
Unfortunately, I am unable to graph the solution set at the moment.
Quick Answer
Set notation: \( \{x \mid \frac{3}{4} \leq x \leq 3\} \)
Interval notation: \( \left[\frac{3}{4}, 3\right] \)
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