Answer:
Is x = 4 a solution to the equation 6 = x + 2? YES
Is x = 4 a solution to the inequality 2x ≥ 9? NO
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