On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (2, 0). Everything to the right of the line is shaded. The solutions to th…

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asked Nov 3, 2020 59.7k views

2 Answers

Ari Braginsky · Answer 1 · 2020-11-07T07:27:11+0000

Answer:

(3,2) is a solution to the inequality.

Explanation:

The inequality is given by
$y\leq 2x - 4$

We can find the solution by trial and error method where we substitute the value of x and y and check whether it satisfies the inequality.

Putting
x = -1 and
y = 1 , we get

$1\leq (2*-1) - 4$

$1\leq -6$ which is not possible.

Hence (-1,1) is not a solution.

Putting
x = 1 and
y = -1 , we get

$-1\leq -2$ which is impossible.So (1,-1) is not a solution

Putting
x=3 and
y=2 , we get

$2\leq 2$ which is possible and hence (3,2) is a solution.

Putting
x=2 and
y=3 we get

$3\leq 0$ which is impossible and (2,3) is not a solution.