Describe & correct the error in determining whether 8 is in the solution set of the inequality

Question

1/2x + 2 less than or equal to 6

Answer 1

Hi,

You wish to know if 8 makes the following inequality true:

1/2 x + 2 <= 6

to assess if 8 makes the inequality true, substitute 8 for x and calculate the left side of the inequality

1/2*8+2 <= 6; substitute 8 for x

4+2 <= 6; simpifly 1/2*8

6 <=6; simplify 4+2

Since 6 is equal to 6 this make 8 a solution to the inequality.

Regards,

Ray