Answered

IDNLearn.com makes it easy to find accurate answers to your questions. Ask anything and receive prompt, well-informed answers from our community of experienced experts.

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)

Sagot :

Todderrickidn
C is correct. (1,-5)

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

InesWalstonidn

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.

View image InesWalston
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com has the solutions you’re looking for. Thanks for visiting, and see you next time for more reliable information.