Posted by **Tim** on Friday, March 21, 2008 at 6:15pm.

compound inequality

write the solution set using interval notation and graph

-7x+1>=15 or 5x+3>=-17

-1 -1 -3 -3

-7x/-7>=14/-7 5x/5>=-20/5

x>=-2 x>=-4

{-2,sideways8) {-4,sideways8)

On my graph I have a { at -2

Does someone know how to do this?

- Algebra -
**Reiny**, Friday, March 21, 2008 at 6:24pm
-7x+1>=15

-7x ≥ 14 now divide by -7 and **switch the inequality sign**

x ≤ -2

or

5x+3>=-17

5x ≥ -20 divide by 5

x ≥ -4

so x ≤ -2 OR x ≥ -4

Since you used OR the results would cover the entire number line, and the solution would be any real number

(try any number, it would satisfy either the first OR the second of your inequalities)

Are you sure the two statements weren't separated by the world "and" ?

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