Solve Linear Inequalities Practice

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Question
La’Shondra solves the inequality 6+3x≤24
. She begins by subtracting 6 from both sides of the inequality and then divides both sides of the equivalent inequality by a number. What is the number?(1 point)

1 answer

To solve the inequality \( 6 + 3x \leq 24 \), La'Shondra begins by subtracting 6 from both sides:

\[ 6 + 3x - 6 \leq 24 - 6 \] which simplifies to:

\[ 3x \leq 18 \]

Next, she needs to isolate \( x \) by dividing both sides of the inequality. The number she divides by is 3.

So, the answer is 3.

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