Question

Wich graph represents the solution to this inequality? -1/4(12x+8)<-2x+11

Answer 1

x > -13

Explanation:

-13 with the red dot and go to the right where it passes -5

➡️ ➡️➡️

-17 -15 -13 -11 -9 -7 -5

Answer 2

x > -13

Explanation:

-
`(1)/(4)` x (12x + 8) < -2x + 11

Factor out 4 from expression

-
`(1)/(4)` x 4 (3x + 2) < -2x + 11

reduce numbers wit greatest common divisor 4

- (3x + 2) < =2x + 11

When a - is in front of parenthesis change the sign

-3x -2 < -2x + 11

Move variable to left side and change the sign

-3x + 2x -2 < 11

Move constant to the right and change the sign

-3x + 2x < 11 + 2

Collect like terms

-x < 11 + 2

add

-x < 13

Change the signs on both sides of the inequality and flip the inequality sign

x > -13