Solve
-8¡Ü4x-7¡Ü-2
The solution is -1/4,5/4
The post is jumbled.
-8¡Ü4x-7¡Ü-2
-8 ¡Ü 4x-7 ¡Ü -2
To solve the inequality -8 ≤ 4x - 7 ≤ -2, we need to isolate the variable x.
First, let's solve the left side of the inequality:
-8 ≤ 4x - 7
Add 7 to both sides:
-8 + 7 ≤ 4x - 7 + 7
-1 ≤ 4x
Next, divide both sides by 4 to isolate x:
-1/4 ≤ 4x/4
-1/4 ≤ x
Now, let's solve the right side of the inequality:
4x - 7 ≤ -2
Add 7 to both sides:
4x - 7 + 7 ≤ -2 + 7
4x ≤ 5
Finally, divide both sides by 4 to isolate x:
4x/4 ≤ 5/4
x ≤ 5/4
Therefore, the solution to the inequality -8 ≤ 4x - 7 ≤ -2 is -1/4 ≤ x ≤ 5/4.