### Home > CC1 > Chapter 8 > Lesson 8.2.1 > Problem 8-78

Solve and graph the following inequalities:

Solve the inequality as you would solve any equation.

(For part (a), subtractfrom both sides to find the value of .)Change the problem to:

Plot the value of

on a number line.

Open circle (does not include the number itself):or

Closed circle (includes the number):or Substitute one number from each side of the point you just plotted.

Decide whether each answer is true or false. Point the arrow in the direction of the true value.Substitute a number less than

in for (let's try):

TRUE!Now substitute a number greater than

in for (let's try):

FALSE!

So the arrow must point to the left (towards the numbers less than) because

those numbers give a true answer when substituted in for.