Question

x-1 >5
x - 7 > -4
-2x< 6
4< -4x
-2x + 3 < -7
3(x+4) > 8x -6
-3x + 4 < -x + 2
-2(x-4) > 5 - (x+2)
a. x< -1, open dot at -1 and shaded to the left
b. x > 3, open dot at 3 and shaded to the right
c. x > 6, open dot at 6 and shaded to the right
e.x > -3,open dot at -3 and shaded to the right
f. x < 18/5, open dot at 18/5 and shaded to the left
g. x<5, open dot at 5 and shaded to the left
h. x > 5, open dot at 5 and shaded to the right
i. x > 1, open dot at 1 and shaded to the right

Answer 1

x - 1 > 5
x > 6
open circle shaded to the right of 6.

Answer 2

x-7> -4
x > 3
open dot at 3 shaded to the right

Answer 3

-2x < 6
x > -3 open dot at -3 and shaded to the right

Answer 4

4< -4x
x < -1 open dot shaded to the left

Answer 5

-2x + 3 < -7
-2x <- 10
x > 5
open dot shaded to the right

Answer 6

3(x+4) > 8x -6
3x + 12 > 8x - 6
-5x > -18
x < 18/5
open dot shaded to the left

Answer 7

-2(x-4) > 5 - (x+2)
-2x + 8 > 5-x-2
-2x + 8 > 3 - x
-x > -5
x < 5 open dot shaded to the left

Answer 8

Thank you @shamil98 for your help