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When solving an​ inequality, when does it become necessary to reverse the inequality​ symbol?

Question

When solving an​ inequality, when does it become necessary to reverse the inequality​ symbol?  

check_circleAnswer
Step 1

Consider an inequality as x < 5x+4.

Solve the ab...

x 5x 4
x-5x5x-5x + 4
Subtract 5x on both sides
-4x4
Multiply by -1 on both sides
(-4x)(-)2-4
4x2-4
4
x 2 -1
4
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Image Transcriptionclose

x 5x 4 x-5x5x-5x + 4 Subtract 5x on both sides -4x4 Multiply by -1 on both sides (-4x)(-)2-4 4x2-4 4 x 2 -1 4

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