Questions: Solve the inequality. Write the solution set in interval notation. -3x + 3 ≤ 18

Solve the inequality. Write the solution set in interval notation. -3x + 3 ≤ 18
Transcript text: Solve the inequality. Write the solution set in interval notation. \[ -3 x+3 \leq 18 \]
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Solution

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Solution Steps

Step 1: Subtract 3 from both sides

\[ -3x + 3 - 3 \leq 18 - 3 \] \[ -3x \leq 15 \]

Step 2: Divide both sides by -3 (remember to reverse the inequality sign when dividing by a negative number)

\[ \frac{-3x}{-3} \geq \frac{15}{-3} \] \[ x \geq -5 \]

Step 3: Write the solution set in interval notation

The solution set is all real numbers \( x \) such that \( x \geq -5 \). In interval notation, this is written as: \[ [-5, \infty) \]

Final Answer

\(\boxed{[-5, \infty)}\)

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