First, let's isolate the variable by adding 1 to all parts of the inequality:
-7 + 1 < 4x - 1 + 1 < 3 + 1
Simplify:
-6 < 4x < 4
Now, divide by 4 to solve for x:
-6/4 < 4x/4 < 4/4
-3/2 < x < 1
Therefore, the solution to the inequality is -3/2 < x < 1.
First, let's isolate the variable by adding 1 to all parts of the inequality:
-7 + 1 < 4x - 1 + 1 < 3 + 1
Simplify:
-6 < 4x < 4
Now, divide by 4 to solve for x:
-6/4 < 4x/4 < 4/4
-3/2 < x < 1
Therefore, the solution to the inequality is -3/2 < x < 1.