# How do you solve #abs(10+7x)>=11#?

##### 2 Answers

Mar 19, 2017

#### Answer:

#### Explanation:

Mar 19, 2017

#### Answer:

#### Explanation:

This inequality is of the form.

#|x|>=arArrxcolor(red)(>=)a" or " xcolor(red)(<=)-a# There are 2 possible solutions here.

#10+7xcolor(red)(>=)11" or " 10+7xcolor(red)(<=)-11#

#color(blue)"Solving " 10+7x>=11# subtract 10 from both sides.

#cancel(10)cancel(-10)+7x>=11-10#

#rArr7x>=1# divide both sides by 7

#(cancel(7) x)/cancel(7)>=1/7#

#rArrx>=1/7larrcolor(red)" first solution"#

#color(blue)"Solving " 10+7x<=-11#

#rArr7x<=-21#

#rArrx<=-3larrcolor(red)" second solution"#