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ElenaW [278]
2 years ago
9

Which graph represents the inequality y≥1−3x?

Mathematics
1 answer:
AysviL [449]2 years ago
7 0

The graph attached below represents the inequality, y ≥ 1 − 3x.

<h3>How to Identify the Graph that Represents an Inequality?</h3>

Given the inequality, y ≥ 1 − 3x, the graph that represents this inequality would have the following features:

  • The boundary line would be a solid line because of the inequality sign, "≥".
  • Also, based on the inequality sign, "≥", the shaded area would be above the boundary line.
  • The slope of the boundary line would be -3
  • The value of the y-intercept would be 1, that is, the line would intercept the y-axis at y = 1.

Thus, the graph attached below has a slope of -3 (the line would be decreasing), and a y-intercept of 1. Also, the shaded area is above the solid boundary line.

Therefore, the graph attached below represents the inequality, y ≥ 1 − 3x.

Learn more about graph of inequality on:

brainly.com/question/11234618

#SPJ1

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Solve the system by elimination.<br> -8X – 10y = 20<br> -8x – 6y = -4
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Answer:

(5, - 6 )

Step-by-step explanation:

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- 8x - 6y = - 4 → (2)

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3 years ago
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Example: Does the point (5, 2) lie within the solution set of the given system of inequalities?

y ≤ x − 5

y ≥ −x − 4

Focus on the first inequality. Does (5,2) satisfy this inequality? Is 2 ≤ 5 - 0 true? Yes, it is true. Before we call (5,2) a solution, we must determine whether or not (5,2) also satisfies the 2nd inequality: Is 2 ≥ -(5) - 4 true?

Is 2 ≥ -9? Yes! So, yes, (5,2) is a solution of this system of inequalities.

We must check out the other three possible solutions in the same fashion.


Try out the point (5,-2). Does it satisfy both inequalities?

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-2 ≥ -(5) - 4 true? Is -2 ≥ -9 true? Yes. Thus, (5,-2) satisfies both inequalities and is thus another solution.

Check out (-5,2) and (-5,-2) in precisely the same way. Is either one, or are both, a solution (or solutions) to the given set of inequalities?

6 0
3 years ago
Read 2 more answers
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