what is the solution -10+4<4x-5<-4?

-10+4 < 4x-5 < -4
First, -10+4 = -6
-6 < 4x-5 < -4
Now add 5 to all terms to isolate the x
-1 < 4x < 1
Now divide all terms by 4
-1/4 < x < 1/4

This means your answer lies between negative one-fourth and one-fourth, but never equals either of them.

-10 + 4 < 4x - 5 < -4 (combine like terms)
-6 < 4x - 5 < -4 (add 5 to all sides)
-1 < 4x < 1 (divide all sides by 4)
-1/4 < x < 1/4 <===solution

- 6 < 4x - 5 < - 4
- 1 < 4x < 1
- 1/4 < x < 1/4

-10+4<4x-5<4
-10+4<4x-5
-10+4+5<4x
-1<4x
-1/4<x

4x-5<-4
4x<-4+5
4x<1
4x/4<1/4
x<1/4

answer= -1/4<x<1/4

-10 + 4 < 4x - 5 < -4
-10 + 4 + 5 < 4x - 5 + 5 < -4 + 5
-1 < 4x < 1
-1/4 < x < 1/4

Answer: -1/4 < x < 1/4

STEP 1 -10+4<4x-5<-4

STEP 2: Add 5 to each side [-10 -4 (+5)<4x-5 (+5)<-4 (+5)]

STEP 3:
Substract 1 from each side [-10 + 9 (-1) < 4x < 1 (-1)]

STEP 4: Divide by 4 (-10 + 8 < 4x)

STEP 5: Simplify -> 2.5 + 2 < x

-10 + 4 < 4x - 5 < -4
-6 < 4x - 5 < -4
-6 + 5 < 4x < -4 + 5
-1 < 4x < 1
-1/4 (-0.25) < x < 1/4 (0.25)

-6<4x-5<-4
-10>4x
x>5