1.Solve and graph the solution set on a number line. Express your answer in interval notation. −6 < 3x − 6/4 ≤ 5

Answer 1

-6 < 3x - 6/4 < 5

add 6/4

-6 + 6/4 < 3x < 5 + 6/4

-4.5 < 3x < 6.5

divide by 3

-1.5 < x < 4 1/3

(-1.5, 4 1/3] or

(-1.5, 13/3]

use a left side parenthesis to indicate the interval does not include the lower bound

use a right side bracket to indicate the interval includes the upper bound

for graphing use a one dimensional real number line, with either a parenthesis and bracket or

use an open dot at the left end and a darkened dot at the right end, with a line connecting them.