Determine if the given values are solutions to the equation or inequality shown. Explain your reasoning.
A. Is x = 4 a solution to the equation 6=x+2?
B. Is x = 4 a solution to the inequality 2x≥9?
A. To determine if x = 4 is a solution to the equation 6 = x + 2, we substitute x = 4 into the equation and check if it is true.
6 = x + 2
6 = 4 + 2
6 = 6
Since the equation is true when x = 4, we can say that x = 4 is a solution to the equation 6 = x + 2.
B. To determine if x = 4 is a solution to the inequality 2x ≥ 9, we substitute x = 4 into the inequality and check if it is true.
2x ≥ 9
2(4) ≥ 9
8 ≥ 9
Since 8 is not greater than or equal to 9, the inequality is not true when x = 4. Therefore, we can say that x = 4 is not a solution to the inequality 2x ≥ 9.