How do you solve # -5x+7 > -3#?

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Answer 1 · 2018-04-03T04:41:08

Solution of the inequality is #x<2#

Given:

The inequality # -5x+7 > -3#

Subtract #7# from both sides of the inequality

# rArr -5x+7-7 > -3-7#

# rArr -5x+cancel 7-cancel 7 > -3-7#

#rArr -5x > - 10#

Multiply both the sides by #(-1)#

Please remember to reverse the inequality

#rArr (-5x)(-1) < (- 10)(-1)#

#rArr 5x < 10#

Divide both sides by 5

#rArr (5x)/5 < 10/5#

#rArr (cancel 5x)/cancel 5 < cancel 10 ^ color(red)(2) /cancel 5#

#rArr x < 2#

Hence #x<2# is the required solution.

Verify this solution with the graph below:

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