How do you solve the inequality #(2x - 1) + (x +3) > 18 - x#?

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Answer 1 · 2017-04-20T16:40:57

#x > 4#

Treat the inequality in the same was as an equation:

#(2x-1)+(x+3) > 18-x#

#2x-1+x+3 >18-x#

Simplify and add #x# to both sides:

#3x +2 +x > 18-x+x#

Subtract 2 from both sides

#4x+2-2 > 18-2#

#4x > 16#

#x > 4#