How do you solve and write the following in interval notation: #-5<5+2x<11#?
You can add/subtract both sides of an inequality without changing the orientation of the inequality;
you can also multiply or divide both (all) sides of an inequality by a value greater than zero without changing the orientation of the inequality..
Given: #-5 < 5 +2x <11
#5#from each "side
#-10 < 2x < 6#
divide each "side" by
#-5 < x < 3#
Break the question into two inequalities and solve each separately.
LHS: keep x term on the right but on the RHS keep x term on left
But the x terms are the same term, so the two parts can be combined: