## kaylab4u2 3 years ago What a is the correct graph of the solution to the inequality -8 ≥ -5x + 2 > -38?

1. 2bornot2b

-8-2 ≥ -5x > -38-2 =>-10 ≥ -5x > -40 =>2 ≥ x > 8

2. 2bornot2b

Here is the graph

3. tanusingh

can someone explain d graph

4. 2bornot2b

@Tanusingh What exactly do you want explained?

5. 2bornot2b

The graph for a ≥ x ≥|dw:1327246099103:dw| b

6. 2bornot2b

I meant The graph for a ≥ x ≥b

7. 2bornot2b

Now the graph for a>x>b |dw:1327246184415:dw|

8. 2bornot2b

Now the graph for a ≥ x >b |dw:1327246223054:dw|

9. tanusingh

SO THE WHITE DOTS MEAN THAT IT IS A OPEN INTERVAL?

10. tanusingh

mevrett whats ur take?

11. 2bornot2b

Exactly !

12. tanusingh

okay

13. 2bornot2b

@tanusingh did you get the explanation you wanted?

14. tanusingh

well so inequalities are plotted by intervals?

15. 2bornot2b

I am not quite sure, what your question is. But I can at least say, that inequalities can be equivalently expressed as intervals, e.g The inequality a≥x≥b is equivalent to [b,a] The inequality a≥x>b is equivalent to (b,a] and so on...

16. Christian679

-8 \[\ge\] -5x + 2 > - 38 = -8 \[\ge\] -5x divide trough by five. so -5x/5 = -8/5 = x \[\le\] 1.4 +2 > -38 = +2/2 > -38/2 = 1 > - 19 = x \[\le\] 1.4 + 1 > -19