-1 < 5-3x ≤ 1
To solve for x, first subtract 5 from all parts of the inequality:
-1 - 5 < 5-3x - 5 ≤ 1 - 5
-6 < -3x ≤ -4
Now divide by -3 to isolate x:
-6 / -3 > x ≥ -4 / -3
2 > x ≥ 4/3
Therefore, the solution set for x is x is greater than 4/3 but less than 2.
-1 < 5-3x ≤ 1
To solve for x, first subtract 5 from all parts of the inequality:
-1 - 5 < 5-3x - 5 ≤ 1 - 5
-6 < -3x ≤ -4
Now divide by -3 to isolate x:
-6 / -3 > x ≥ -4 / -3
2 > x ≥ 4/3
Therefore, the solution set for x is x is greater than 4/3 but less than 2.