Determine if the ordered pair (6, 4) is a solution to the inequality y is greater than negative one half times x plus 7.
Accepted Solution
A:
Let's write the inequality down:[tex]y > -\dfrac{1}{2}x+7[/tex]Let's plug the values x=6, y=4:[tex]4 > -\dfrac{1}{2}\cdot 6+7 \iff 4 > -3+7 \iff 4>4[/tex]Which is false, unless you meant "greater than or equal to". In that case, the pair is a solution.