Question

Please help me out with this!!

Answer 1

see explanation

Explanation:

Given

x +
`(1)/(2)` ≤ - 3 or x - 3 > - 2

Solve the left and right inequalities separately, that is

x +
`(1)/(2)` ≤ - 3 ( isolate x by subtracting
`(1)/(2)` from both sides )

x ≤ - 3 -
`(1)/(2)`, that is

x ≤ -
`(6)/(2)` -
`(1)/(2)`, thus

x ≤ -
`(7)/(2)`

OR

x - 3 > - 2 ( isolate x by adding 3 to both sides )

x > 1

Solution is

x ≤ -
`(7)/(2)` or x > 1