Answer:
1. (5, 0) is a solution to the inequality
2. (-2, 6) is not a solution to the inequality
Explanation:
Given the inequality
[tex]y\leq5x-2[/tex]
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.
[tex]\begin{gathered} 0\leq5(5)-2 \\ 0\leq25-2 \\ 0\leq23 \end{gathered}[/tex]
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
[tex]\begin{gathered} 6\leq5(-2)-2 \\ 6\leq-10-2 \\ 6\leq-12 \end{gathered}[/tex]
This is not true, 6 is neither less nor equal to -12
Hence, (-2, 6) is not a solution to the inequality.
