Question

Solve the inequality 5x < 16 + x.
a. x < 1/4
b. x > 1/4
c. x < 4
d. x > 4

Answer 1

Okay so do you know how to start off?

Answer 2

do i divide both sides by 5?

Answer 3

First you should put all of the x values on one side. Do you know how to do that?

Answer 4

no i dont

Answer 5

Ok. What is the x on the right side doing?

Answer 6

being added to 16?

Answer 7

Exactly. It's adding. So we can pass it over to the other side doing the opposite. Subtracting. So now our equation is: 5x - x < 16. Are you following?

Answer 8

yes i think so

Answer 9

now do i divide both sides by 5?

Answer 10

First solve 5x - x. What would that be?

Answer 11

just 5? the x's cancel out?

Answer 12

Good try, but no. Remember that there is always an invisible 1 with an x. So 5x - 1x = 4x. So now our equation is 4x < 16. Understand?

Answer 13

yes i understand i forgot about the 1

Answer 14

No problem :) So what would be the next step here?

Answer 15

divide both sides by 4 to get the x alone?

Answer 16

Exactly!

Answer 17

So what's your final answer?

Answer 18

X<4

Answer 19

yep! you got it girl

Answer 20

thank you so much!:)

Answer 21

no prob :)