Question

Part 1: Solve the compound inequality 7x - 4 > 31 and 7x - 4 <_ 59 and show all of your work. You can use <= to represent the less than or equal to symbol. Part 2: Use complete sentences to describe the graph of the solution from Part 1

Answer 1

7x - 4 > 31
7x - 4 + 4 > 31 + 4
7x > 31 + 4
7x > 35
7x/7 > 35/7
x > 5

7x - 4 <= 59
7x - 4 + 4 <= 59 + 4
7x <= 63
7x/7 <= 63/7
x <= 9

Number line graph....
x is greater then 5 and less then or equal to 9

open circle on 5 shaded to the right, up till nine, with a closed circle on 9

Answer 2

thank you i think i understand it now