Question

1. Is (6,7) a solution to the inequality y> 2x - 5?

Answer 1

Answer:

$\fbox{\begin{minipage}{8em}Not a solution\end{minipage}}$

Step-by-step explanation:

Step 1: Consider the assumption:

Generally, $(6, 7)$) is supposed to be the pair of 2 components, in which, the first component is x-component (domain), the second component is y-component (range).

Hence, $x = 6, y = 7$

Step 2: Substitute $x$ and $y$ into the inequality

       $y > 2x - 5$

<=>  $7 > 2*6 - 5$

Step 3: Simplify

<=>  $7> 12 - 5$

<=>  $7 > 7$

Step 4: Evaluate

Invalid

Reason: $7 = 7$

Step 5: Conclude

$(6, 7)$ is not a solution to the inequality $y > 2x - 5$

Hope this helps!

:)