Graph -8<(8x-5)/8<5

Math
-8<8x-58<5
Multiply each term in the inequality by 8.
-8⋅8<8x-58⋅8<5⋅8
Multiply -8 by 8.
-64<8x-58⋅8<5⋅8
Cancel the common factor of 8.
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Cancel the common factor.
-64<8x-58⋅8<5⋅8
Rewrite the expression.
-64<8x-5<5⋅8
-64<8x-5<5⋅8
Multiply 5 by 8.
-64<8x-5<40
Move all terms not containing x from the center section of the inequality.
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Add 5 to each section of the inequality because it does not contain the variable we are trying to solve for.
-64+5<8x<40+5
Add -64 and 5.
-59<8x<40+5
Add 40 and 5.
-59<8x<45
-59<8x<45
Divide each term in the inequality by 8.
-598<8×8<458
Move the negative in front of the fraction.
-598<8×8<458
Cancel the common factor of 8.
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Cancel the common factor.
-598<8×8<458
Divide x by 1.
-598<x<458
-598<x<458
<div data-graph-input="{"graphs":[{"ascii":"-(59)/(8)<x
Graph -8<(8x-5)/8<5

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