Question

9. Solve the inequality
8[x+3/4]<2

Answer 1

Are those supposed to be absolute value signs or parenthesis?

Answer 2

@isaiah993

Answer 3

absolute value

Answer 4

@MathLegend

Answer 5

Okay so remember when dealing with less than signs... we rewrite the inequality.

Answer 6

Wait is the 3/4 supposed to be a fraction?

Answer 7

@isaiah993

Answer 8

yes

Answer 9

@MathLegend

Answer 10

So first change those absolute value sings into parenthesis and distribute.

Answer 11

8(x+3/4)<2
8x+6<2

(Do you follow?)

Answer 12

Now we change this using the less than rule.

Answer 13

-2<8x+6<2

Answer 14

Subtract 6 from all 3 sides.

Answer 15

-8<8x<-4
(Do you follow?)

Answer 16

ok @mathlegend

Answer 17

So now you divide by the positive 8 on all 3 sides.

Answer 18

ok so -1<x<-0.5

Answer 19

Yes

Answer 20

actually -1>x>-0.5 because its negatives so you flip the sign

Answer 21

nvm u dnt flip it ok

Answer 22

Right, you only flip if what you divide by is negative.