Answer:
( - ∞, 0] U ( 1, ∞)
Step-by-step explanation:
To solve 5 + 2x > 7, we need to subtract 5 on both sides:
5 + 2x - 5 > 7 - 5
2x > 2
Then, dividing by 2 on both sides as:
2x/2 > 2/2
x > 1
Therefore, the solution is the set of all x that are greater than 1 or:
( 1, ∞)
At the same way, to solve x + 7 ≤ 7, we need to subtract 7 on both sides as:
x + 7 - 7 ≤ 7 - 7
x ≤ 0
Therefore, the solution of this part is the set of all x that are less or equal to 0 or:
( - ∞, 0]
Finally, the solution is the join of both sets, so the solution is:
( - ∞, 0] U ( 1, ∞)