Solve each inequality. Graph each solution set. (I'm having trouble with this, someone please help me thank u)

Question

1.) |2x| >= 4

2.) |5x| <= 15

3.) |x + 9| >= 17

4.) |3x + 11| > 1

5.) |3x + 7| <= 26

Answer 1

1. x is less than or equal to -2 and greater than or equal to 2.

-2>=x>=2

2. -3<=x<=3

3. -26 >=x>=8

4. -4>x>-10/3

5. -11<=x<=19/3

for graphing...on a number line or on a cartesian plane??

Answer 2

1.)
|2x| >= 4
2x >= 4 or 2x <= -4
x >= 2 or x <= -2

2.)
|5x| <= 15
5x <= 15 or 5x >= -15
x <= 3 or x >= -3
-3 <= x <= 3

3.)
|x + 9| >= 17
x + 9 >= 17 or x + 9 <= -17
x >= 8 or x <= -26

4.)
|3x + 11| > 1
3x + 11 > 1 or 3x + 11 < -1
3x > -10 or 3x < -12
x > (-10/3) or x < -4

5.)
|3x + 7| <= 26
3x + 7 <= 26 or 3x + 7 >= -26
3x <= 19 or 3x >= -33
x <= (19/3) or x >= -11
-11 <= x <= (19/3)

Answer 3

1)
2x >= 4 Or -2x <= 4
x >= 2 Or x <= -2

2)
x <= 3 Or x >= -3

3)
x + 9 >= 17 Or - x - 9 <= 17
x >= 8 Or x <= -26

Solve them similarly.

Answer 4

1. x>=2 and x<=-2
2. x<=3 and x>=-3
3. x>=8 and x<=-23

you solve the rest. . .

Answer 5

|2x+10| less than 26

Answer 6

do this yourself