Question

Solve. Present your solution on a number line and interval notation
(1) -2x+51<9-8x
(2) x-3 ≤ -5 or 6x>-6
(3) -4x+13≤9 or 6-5x ≥21
(4) 7x-1 ≥13 or 4x +5 ≥-7
(5) -8x<-24

Answer 1

You need to:
subtract 9 from both sides
then, add 2x to both sides
and then, multiply both sides by -6 because -8x + 2x = -6x and you want to isolate x.
*** when multiply both sides by a negative number, you must switch direction of the < to make everything consistent.

Answer 2

42 < -6x
-7 > x

You need to double check my math.

Answer 3

Solve. Present your solution on a number line and interval notation
(1) -2x+51<9-8x
(2) x-3 ≤ -5 or 6x>-6
(3) -4x+13≤9 or 6-5x ≥21
(4) 7x-1 ≥13 or 4x +5 ≥-7
(5) -8x<-24