Question

Explain how to solve and graph the solution set on a number line for the inequality shown: 2a - 10 < 2

Answer 1

you solve inequalities pretty much like equations except for one rule. That rule is, when multiplying/dividing the inequality by a negative number, the sign changes.

2a - 10 < 2 -- add 10 to both sides
2a - 10 + 10 < 2 + 10 -- combine like terms
2a < 12 -- divide both sides by 2
a < 6

To graph on a number line...learn these rules
if it contains an equal sign, it has a closed dot
if there is no equal sign, the dot is open
< less then is shaded to the left
> greater then is shaded to the right

so on a number line : a < 6.....open circle on 6 (because there is no equal sign), and since it is less then (<) shading goes to the left.