Question

1. which is not a solution to $y > 2x - 4$?

$\bigcirc$ $(-1, 5)$
$\bigcirc$ $(0, -3)$
$\bigcirc$ $(2, 0)$

of the following areas that are solutions on a graph of a

Explanation:

Step1: Check (-1, 5)

Substitute \(x = -1\), \(y = 5\) into \(y > 2x - 4\):
\(5 > 2(-1) - 4\)
\(5 > -2 - 4\)
\(5 > -6\) (True)

Step2: Check (0, -3)

Substitute \(x = 0\), \(y = -3\) into \(y > 2x - 4\):
\(-3 > 2(0) - 4\)
\(-3 > -4\) (True)

Step3: Check (2, 0)

Substitute \(x = 2\), \(y = 0\) into \(y > 2x - 4\):
\(0 > 2(2) - 4\)
\(0 > 4 - 4\)
\(0 > 0\) (False)

Answer:

(2, 0) is NOT a solution. So the answer is \(\boldsymbol{(2, 0)}\) (the third option).