Inequality:

Find the interval for the set of x-values that satisfy 3x - 4 > 2.

By Rule 2 of inequalities, we can add 4 to both sides:
3x -4 +4 > 2 + 4, or 3x > 6.

By Rule 4 of inequalities, we can multiply both sides of the latter inequality by 1/3 and get
x > 2.

The interval is .

Test Problem:
Find the interval for 4x - 7 > 5

a)

b)

c)

d)

e)

f)