Determine whether each number is a solution of the inequality below.
4x + 2 < - 6
A. 1 B. - 2 C. 0
a. Is 1 a solution?
a. Is 1 a solution?
Yes or No?
No.
To determine if 1 is a solution of the inequality 4x + 2 < -6, substitute 1 for x in the inequality and see if the statement holds true.
4(1) + 2 < -6
4 + 2 < -6
6 < -6
The statement 6 < -6 is not true, so 1 is not a solution to the inequality. Therefore, the answer is No.
To determine whether a certain number is a solution to the inequality, we will substitute that number into the inequality and check if it satisfies the inequality.
For example, to check if 1 is a solution, we substitute 1 for x in the inequality 4x + 2 < -6:
4(1) + 2 < -6
4 + 2 < -6
6 < -6
Since the statement 6 < -6 is false, we can conclude that 1 is not a solution to the inequality 4x + 2 < -6.
So the answer is No, 1 is not a solution.