Which of the following comparisons is correct?-2 24<−4−6< −5

Mathematics

1 answer:

zlopas [31]3 years ago

4 0

<h3>Answer: Choice D) -6 < -5</h3>

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Explanation:

Let's go through the answer choices

A) This is false because -2 is actually larger than -5. Make a number line and you'll see that -2 is to the right of -5. Numbers on the right are larger than numbers on the left.
B) This is also false. The value 0 is smaller than 2. A number line might help show this.
C) Also false. It should be 4 > -4. Any positive number is always larger than any negative number.
D) This is true. On a number line, -6 is to the left of -5, so -6 is smaller than -5. This makes -6 < -5 a true statement.

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The system of linear inequalities x + 10y ≤ 80, x ≥ 30 and y ≤ 4 is represented in a graph below

<h3>Graph of Linear Inequality</h3>

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

To solve this problem, we would require the use of graph which can easily be done with a graphing calculator.

x + 10y ≤ 80

x ≥ 30

y ≤ 4

The graph of the inequalities is attached below

Learn more on graph of linear inequality here;

brainly.com/question/19443475

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