How do you solve 7\geq \frac { - 5h + 9} { 2} > - 3?

1 Answer
Mar 13, 2017

-1<=h<3 or

Interval notation: [-1,3)

Explanation:

7>=(-5h+9)/2>-3

7*2>=(cancel(2)(-5h+9))/cancel(2)>-3*2

14>=-5h+9>-6

14-9>=-5hcancel(+9)cancel(-9)>-6-9

5>=-5h>-15

(cancel(5)-1)/(cancel(-5)1)>=(cancel(-5)h)/(cancel(-5)1)>(cancel(-15)3)/(cancel(-5)1)

  • remember to switch symbol direction after multiplying or dividing all sides by a negative number

-1<=h<3

  • Interval notation: [-1,3)
    ** "[ ]" for >=or <=, "()" for > or <