Is x=4 a solution to the equation 6=x+2? Is it a solution to the inequality 2x≥9?

Is x = 4 a solution to the equation 6 = x + 2? YES

Is x = 4 a solution to the inequality 2x ≥ 9? NO

Step-by-step explanation:

Is x = 4 a solution to the equation 6 = x + 2? YES

we cans solve the equation 6=x+2 by clearing for x:

6 = x + 2

we move the +2 on the right as a -2 to the left:

6 - 2 = x

4 = x

this way we find that indeed x = 4 is a solution to 6 = x + 2.

Is x = 4 a solution to the inequality 2x ≥ 9? NO

Let's solve the inequality by clearing for x:

2x ≥ 9

we move the 2 that is multiplying on the left to divide on the right side:

x ≥ 9/2

x ≥ 4.5   ⇒ x must be greater than or equal to 4.5

thus, 4 is not a solution to the inequality because 4 is less than 4.5