Answer:
a. x + 2 ≤ 6 or x + 2 ≥ 10 b. x ≤ 4 or x ≥ 8
Step-by-step explanation:
a. Write a compound inequality
Let x be the number.
Since x + 2 is no more than 6 then x + 2 ≤ 6 and x + 2 is no less than 10 then x + 2 ≥ 10
So, the compound inequality is x + 2 ≤ 6 or x + 2 ≥ 10
b. Solve the inequality
Solving each inequality, we have,
x + 2 ≤ 6
x ≤ 6 - 2
x ≤ 4
x + 2 ≥ 10
x ≥ 10 - 2
x ≥ 8
So, x ≤ 4 or x ≥ 8
