Question

Which of the following ordered pairs is a solution to the inequality y less than or greater to -2x + 10?

(0, -4)
(1, 13)
(6, -1)
(3, 8)
Select the inequality that corresponds to the given graph.

graph of an inequality with a solid line through the points negative 8 comma 0 and 0 comma negative 4 and shading above the line

2x - 5y -10
x - y > 3
2x - y < -4
x + 2y -8

Answer 1

\(y \le -2x +10 \)

It is like solving with an equation. The difference is that instead of just relying on the actual linear equation for the line itself, we will be able to determine a whole region covered by the line

Answer 2

if it were an equation instead of an inequality, would you be able to solve for the intercepts?

Answer 3

maybe

Answer 4

so to solve for the intercepts, do the following.

for y-intercept, as the name implies where the line touches the y-coordinate