The sum of a number and 2 is no more than 6 or no less than 10 i need to define the variable , write a compound inequality and solve.

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

idek

step-by-step explanation:

i use my brain for prombles like this maybe you could try it

step-by-step explanation: