-2 less than or equal to - 3x +1 less than or equal to 5 in interval notation

You are solving the compound inequality:

\[
-2 \leq -3x + 1 \leq 5
\]

### Step 1: Break the inequality into two parts
\[
-2 \leq -3x + 1 \quad \text{and} \quad -3x + 1 \leq 5
\]

### Step 2: Solve the first inequality
\[
-2 \leq -3x + 1
\]
Subtract 1 from both sides:
\[


-2 less than or equal to -3x + 1 less than or equal to 5 in interval notation

Learn how to solve the compound inequality -2 ≤ -3x + 1 ≤ 5 with a step-by-step solution. This problem covers key algebraic concepts, such as solving inequalities and expressing the solution in interval notation. Suitable for students in Grades 8-10.

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