Question

What inequality represents all the values of x for y <

-5(x - 8) - 2 when y = 7?

Answer 1

x< 6
`(1)/(5)`

Explanation:

7<-5(x -8) - 2 Distribute the 5

7<-5x + 40 - 2

7<-5x +38 Subtract 38 from both sides

-31<-5x Divide both sides by -5

`(31)/(5)` >x When you divide both sides by a negative number, you must flip the sign.

or

x < 6
`(1)/(5)`

Answer 2

(−∞, 31/5) or x <31/5 (the graph will start a little bit past 6 and will be a open circle and head to the left)