How do you solve #10> - 2x + 4> - 6#?

1 Answer
Jim G.
Jan 18, 2017

#-3 < x <5#

Explanation:

We require to isolate the x term in the middle section of the inequality while having numeric values in the other 2 sections.

subtract 4 from ALL 3 sections

#10-4 > -2xcancel(+4)cancel(-4)> -6-4#

#rArr6> -2x > -10#

To solve for x, divide ALL sections by -2

#color(blue)"NOTE"# when we multiply/divide an inequality by a negative value we must #color(red)"reverse the inequality sign".#

#6/(-2) < (cancel(-2) x)/cancel(-2) < (-10)/(-2)larr" reverse signs"#

#rArr-3 < x < 5" is the solution"#

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