How do you solve #-420> - 28x#?

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Answer 1 · 2018-03-31T11:01:48

#color(blue)(x>15#

We are given the inequality:

#color(red)(-420 > -28x#

Swap sides. Remember to adjust the inequality sign.

#-28x < -420#

Multiply both the sides of the inequality by #(-1)#.

Remember to reverse the inequality.

#(-28x)(-1) > (-420)(-1)#

Simplify.

#28x > 420#

Divide both sides of the inequality by #28#

#(28x)/28 > 420/28#

Simplify.

#x > 15#

An image of the Inequality graph :

Observe that dashed line indicates the value that is not a part of the solution.

Shaded area represents the required solution.

enter image source here

Hope it helps.