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sineoko [7]
3 years ago
12

Which ordered pairs are solutions to the inequality y−2x≤−3?

Mathematics
2 answers:
My name is Ann [436]3 years ago
6 0

we will proceed to resolve each case to determine the solution

we have

y-2x \leq -3

y\leq2x-3

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

<u>case a)</u> (5,-3)

Substitute the value of x and y in the inequality

-3\leq2*5-3

-3\leq7 -------> is true

so

The ordered pair (5,-3) is a solution

<u>case b)</u> (0,-2)

Substitute the value of x and y in the inequality

-2\leq2*0-3

-2\leq-3 -------> is False

so

The ordered pair (0,-2) is not a solution

<u>case c)</u> (-6,-3)

Substitute the value of x and y in the inequality

-3\leq2*-6-3

-3\leq-15 -------> is False

so

The ordered pair(-6,-3) is not a solution

<u>case d)</u> (1,-1)

Substitute the value of x and y in the inequality

-1\leq2*1-3

-1\leq-1 -------> is True

so

The ordered pair (1,-1) is a solution

<u>case e)</u> (7,12)

Substitute the value of x and y in the inequality

12\leq2*7-3

12\leq11 -------> is False

so

The ordered pair (7,12) is not a solution

Verify

using a graphing tool

see the attached figure

the solution is the shaded  area below the line

The points A and D lies on the shaded area, therefore the ordered pairs A and D are solution of the inequality

sergeinik [125]3 years ago
3 0
The first and fourth one
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