How do you solve #-5- 7x < - 61#?

1 Answer
Jim G.
Sep 1, 2017

#x>8#

Explanation:

#"isolate the term in x on the left side with numeric values"#
#"on the right side"#

#"add 5 to both sides"#

#cancel(-5)cancel(+5)-7x< -61+5#

#rArr-7x< -56#

#"now divide both sides by - 7"#

#color(blue)"Note"#

#"when multiplying/dividing an inequality by a negative"#
#"value we must "color(red)"reverse the sign"#

#rArr(cancel(-7) x)/cancel(-7)> (-56)/(-7)larrcolor(red)" reverse sign"#

#rArrx>8" is the solution"#

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