What are the integer values of x which satisfy the inequality \( -1 < 3 - 2x \le 5 \)?
Question 1 Report
What are the integer values of x which satisfy the inequality \( -1 < 3 - 2x \le 5 \)?
Answer Details
The inequality given is: -1 < 3 - 2x ≤ 5.
We need to find the integer values of x that satisfy this inequality.
First, let's solve for the left side of the inequality: -1 < 3 - 2x.
Add 2x to both sides: 2x - 1 < 3
Add 1 to both sides: 2x < 4
Divide both sides by 2: x < 2
Now, let's solve for the right side of the inequality: 3 - 2x ≤ 5.
Subtract 3 from both sides: -2x ≤ 2
Divide both sides by -2, remembering to flip the inequality: x ≥ -1
So, the integer values of x that satisfy the inequality are -1, 0, 1, and 2.
Therefore, the correct option is:
- -1, 0, 1,
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