Question

which of the following ordered pairs is not a solution to the inequality "y less than or equal to -3x - 5" ?

(-4,0)
(0,0)
(-3,0)
(-2,0)

Answer 1

(x, y)
Plug in the values of each of the points till you find one that makes the inequality true.
\[y \le -3x - 5\]
(-4, 0)\[0 \le -3(-4) - 5\]\[0 \le 12 - 5\]\[0 \le 7\]Is 0 less than or equal to 7? Is the inequality true?

Answer 2

?

Answer 3

Is 0 less than 7

Answer 4

yes

Answer 5

Okay, so (-4, 0) is a possible solution to the problem.
We're looking for the one that does NOT fit in, so lets keep checking.

(0, 0)
\[0 \le -3(0) - 5 \]\[0 \le 0 - 5 \]\[0 \le -5 \]
Is 0 less than 5?

Answer 6

*Is 0 less than -5?