To isolate x, we first need to get rid of the constant terms on the left side of the inequality.
Starting with -3 < 5x - 2, we can add 2 to both sides:
-3 + 2 < 5x - 2 + 2
-1 < 5x
Next, we can divide by 5 on both sides to solve for x:
-1/5 < x
This means that x is greater than -1/5.
Moving to the other side of the inequality, we have 5x - 2 < 4:
5x - 2 < 4
Adding 2 to both sides:
5x < 6
Dividing by 5 on both sides:
x < 6/5
Therefore, the solution to the inequality -3 < 5x - 2 < 4 is -1/5 < x < 6/5.
To isolate x, we first need to get rid of the constant terms on the left side of the inequality.
Starting with -3 < 5x - 2, we can add 2 to both sides:
-3 + 2 < 5x - 2 + 2
-1 < 5x
Next, we can divide by 5 on both sides to solve for x:
-1/5 < x
This means that x is greater than -1/5.
Moving to the other side of the inequality, we have 5x - 2 < 4:
5x - 2 < 4
Adding 2 to both sides:
5x < 6
Dividing by 5 on both sides:
x < 6/5
Therefore, the solution to the inequality -3 < 5x - 2 < 4 is -1/5 < x < 6/5.