Question
Find the solution to the inequality \( \leq \) \( 6-2 x \geq 16 \)
Ask by Chandler Davey. in the United States
Dec 15,2024
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Tutor-Verified Answer
Answer
\(x \leq -5\)
Solution
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Beyond the Answer
To solve the inequality \( 6 - 2x \geq 16 \), first, we need to isolate the variable. Start by subtracting 6 from both sides: \[ -2x \geq 16 - 6 \] This simplifies to: \[ -2x \geq 10 \] Next, divide both sides by -2. Remember that when you divide by a negative number, you reverse the inequality sign: \[ x \leq -5 \] So, the solution to the inequality is \( x \leq -5 \).
