How do you solve the inequality #15-2x<=7#?

1 Answer
LucaGasparro
Jan 8, 2018

Solve it like a linear equation.
#x>=4#

Explanation:

We know that to solve a linear inequality we solve it like a linear equation, with the only difference being when we divide or multiply by a negative, we flip the inequality sign.

#therefore 15-2x <= 7#
#therefore# # 8<= 2x#
which is the same as #2x>=8#

Now we simply divide by the coefficient, in this case 2.

#therefore# the answer is #x>=4#

This is saying when #x# is greater than or equal to #4# this inequality is true.

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