If -1 ≤ 3 -2x ≤3, then
Created: 2 years ago |
Updated: 7 months ago
best des
Let's solve the given inequality step by step:
-1 ≤ 3 - 2x ≤ 3
First, subtract 3 from all parts of the inequality:
-1 - 3 ≤ -2x ≤ 3 - 3
-4 ≤ -2x ≤ 0
Now, divide all parts of the inequality by -2. When you divide by a negative number, the direction of the inequality signs changes:
(-4) / (-2) ≥ x ≥ 0 / (-2)
2 ≥ x ≥ 0
Now, let's write this in standard form with the variable x on the left side:
0 ≤ x ≤ 2
So, the correct answer is 0 ≤ x ≤ 2.
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