9h+2<-79 Algebra?

Question

Would it be h<9 or h<-9?

Thanks, and happy Thanksgiving

Answer 1

9h + 2 < -79

9h < -79 - 2

9h < -81 divide both sides by 9

h < -9

Happy Thanksgiving to you, too!

Answer 2

h < -9

All you have to do is think about this a little bit. Suppose you plugged the number 8, which is less than 9, into this inequality. The result would be 9*(8) + 2 < -79. Is 74 less than -79? Certainly not! So the first choice is an impossibility.

To make this even more crystal clear, make the inequality into an equation and find out what h must be to make the left hand side equal to the right hand side. Then it becomes:

9h+2 = -79
9h = -79-2 = -81
h = -9

So, to make the left hand side even more negative than the right hand side, the value chosen for the variable h must be even more negative (farther to the left on the number line) than the variable value when both sides are equal. This implies that h must be less than -9.

Have a terrific Thanksgiving! But don't gobble gobble too much.

Answer 3

9h + 2 < -79

9h < -79 -2

9h < -81

h < -9

(the last step was dividing through by 9. the sign would only have changed if you were dividing through by a negative number)

Answer 4

h<-9

Answer 5

9h + 2 < -79
In order to satisfy the inequality,
h<-9

Happy Thanksgiving

Answer 6

9h<-2-79
9h<-81
h<-9

Answer 7

9h+2<-79
9h<-2-79
9h<-81
h<-81/9
h<-9

Answer 8

-9

Answer 9

9h <-81
h<-9

That's right

Answer 10

9h<-81
h<-9

The second one.