Question

Solve −x−6≥−5 or −2x−5>4 and write the solution in interval notation. Note: Use improper fractions, if necessary.

Answer 1

(−∞,∞)

Explanation:

5x - 4 ≤ - 3

5x ≤ 1

x ≤
`(1)/(5)`

4x + 6 > 0

4x > - 6

x > -
`(3)/(2)`

Answer 2

(-∞, -1]

Explanation:

−x−6≥−5

-x≥1

x≤-1

−2x−5>4

-2x>9

x<-9/2

So x < -9/2 V x ≤ -1