Which of these ordered pairs is a solution to the linear inequality y – 3x ≤ –8?

(TEACHER HINT: Ordered pairs are always (x,y). Make sure you are matching the number in the ordered pair with the right variable in the inequality. Now, don’t forget to use your order of operations to simplify. You’re looking for the ordered pair that will make this statement true.)

A. (–2, 4)
B. (1, 3)
C. (1, –5)
D. (3, 4)

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Answer :

todderrick todderrick · Answer 1 · 2014-11-12T14:22:34-05:00

C is correct. (1,-5)

-5 - 3(1) =
-5 + - 3 = -8

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InesWalston InesWalston · Answer 2 · 2018-12-05T04:39:31-05:00

Answer:

C. (1, -5)

Step-by-step explanation:

If the ordered pair is a solution to the system, then it must satisfy the equation.

The given linear inequality is,

[tex]y-3x \leq -8[/tex]

A. (-2, 4)

[tex]\Rightarrow 4-3(-2) \leq -8[/tex]

[tex]\Rightarrow 4+6 \leq -8[/tex]

[tex]\Rightarrow 10\nless -8[/tex]

So it is not the solution to the system.

B. (1, 3)

[tex]\Rightarrow 3-3(1) \leq -8[/tex]

[tex]\Rightarrow 3-3 \leq -8[/tex]

[tex]\Rightarrow 0\nless -8[/tex]

So it is not the solution to the system.

C. (1, -5)

[tex]\Rightarrow -5-3(1) \leq -8[/tex]

[tex]\Rightarrow -5-3 \leq -8[/tex]

[tex]\Rightarrow -8\leq -8[/tex]

As it satisfies the equation, so it is the solution of the system.

D. (3, 4)

[tex]\Rightarrow 4-3(3) \leq -8[/tex]

[tex]\Rightarrow 4-9 \leq -8[/tex]

[tex]\Rightarrow -5\nless -8[/tex]

So it is not the solution to the system.