I get it all done and it is wrong please help solve this thanks.
Solve the compound inequality.
4x-3/8<-6 or 4x-3/8>6
Do you mean
4x-3/8<-6 or 4x-3/8>6
or
(4x-3)/8<-6 or (4x-3)/8>6 ?
What did you get for your (wrong) answer?
To solve the compound inequality 4x - 3/8 < -6 or 4x - 3/8 > 6, we need to solve each inequality separately and then combine the solutions.
Let's solve the first inequality: 4x - 3/8 < -6
1. Add 3/8 to both sides to isolate the term with x:
4x - 3/8 + 3/8 < -6 + 3/8
4x < -6 + 3/8
2. Simplify the right side of the inequality:
4x < -6 + 3/8
4x < -48/8 + 3/8
4x < -45/8
3. Divide both sides by 4 to solve for x:
x < (-45/8) / 4
x < -45/32
Now let's solve the second inequality: 4x - 3/8 > 6
1. Add 3/8 to both sides to isolate the term with x:
4x - 3/8 + 3/8 > 6 + 3/8
4x > 6 + 3/8
2. Simplify the right side of the inequality:
4x > 6 + 3/8
4x > 48/8 + 3/8
4x > 51/8
3. Divide both sides by 4 to solve for x:
x > (51/8) / 4
x > 51/32
Therefore, the solution to the compound inequality 4x - 3/8 < -6 or 4x - 3/8 > 6 is x < -45/32 or x > 51/32.