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Determine if each of the following are solutions to the inequality y s 5x – 2.swork in the space below each problem.

Determine if each of the following are solutions to the inequality y s 5x – 2.swork-example-1

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Answer:

1. (5, 0) is a solution to the inequality

2. (-2, 6) is not a solution to the inequality

Step-by-step explanation:

Given the inequality


y\leq5x-2

We want to check if

1. (5, 0)

2. (-2, 6)

are solutions.

1. (5, 0)

Here, x = 5, y = 0

Insert these in the inequality, evaluate and see if the inequality is satisfied.


\begin{gathered} 0\leq5(5)-2 \\ 0\leq25-2 \\ 0\leq23 \end{gathered}

This is true, 0 is less than 23.

Hence, (5, 0) is a solution to the inequality

2. (-2, 6)

Here, x = -2, y = 6


\begin{gathered} 6\leq5(-2)-2 \\ 6\leq-10-2 \\ 6\leq-12 \end{gathered}

This is not true, 6 is neither less nor equal to -12

Hence, (-2, 6) is not a solution to the inequality.

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