Question

SEE PIC BELOW FIRST

3 pts 7. Using the following systems of inequalities, is the point (2,4) a solution? y > 1/2 x-2
y> -2x+4​

Answer 1

no, the point (2,4) is not a solution try adding -2x+4 first then x-2 =-2x

Answer 2

Yes, the point (2,4) is a solution

Explanation:

(2,4) can also be seen as (x,y)

Therefore, you can plug 2 into the x values and 4 into the y values like this:

(4) ≥ 1/2 (2) - 2

(4) > -2(2) + 4

Then simplify:

4 ≥ -1

4> 0

Now look at these statements. Four is greater than a negative one, so that is true. Four is also greater than zero, so that is true as well.

That is why this is a solution since both statements are true.