How do you solve #7 | q | - 2 = 9#?

2 Answers
May 4, 2017

#q=+-11/7#

Explanation:

#7absq=9+2#
#absq=11/7#
#q=+-11/7#

May 4, 2017

#q=+-11/7#

Explanation:

#color(blue)"Isolate " |q|" on the left side"#

#"add 2 to both sides"#

#7|q|cancel(-2)cancel(+2)=9+2#

#rArr7|q|=11#

#"divide both sides by 7"#

#(cancel(7) |q|)/cancel(7)=11/7#

#rArr|q|=11/7#

#"the value of q inside the absolute value function can be"#
#"positive or negative"#

#rArrq=+-11/7#