Find the sum using the number line. Drag and drop the sum into the box to match the expression. 3+(−4)

Mathematics

2 answers:

juin [17]4 years ago

5 0

Answer:

Sum = -1 on the number line.

Step-by-step explanation:

As you are given a number line, you will see the markers labeled with possible answers. You start from zero, as if you have no value at all. Then you follow the rules of pemdas and begin moving to the right of the number line by positive 3 points. Then, you do as the equation asks and subtract (go backwards; move to the left) 4 points. Returning 4 spaces and going past the zero mark into the negatives. Finding your answer at the point of negative one.

coldgirl [10]4 years ago

3 0

Answer:

–1

Step-by-step explanation:

First, you'll move right 3 spaces from "0" to "3".

Then, you'll move left 4 spaces from "3" to "–1".

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Answer the following

Amanda [17]

The set A satisfying the given inequality is A = (- $\infty$ , -10].

<h3>What are some properties of an inequality relation? </h3>

Following are some facts which are true for an inequality relation:

Equal numbers can be added or subtracted from both sides of an inequality without affecting the inequality sign.
The Inequality sign is unchanged if both sides are multiplied or divided by a positive number, but when multiplied or divided by a negative number the inequality sign is reversed.

$\frac{5x-2}{8} - \frac{3x-5}{10} &\ge& x+y\\\\\Rightarrow\;\; \frac{13}{40}x + \frac{1}{4}&\ge& x+y\\\\\Rightarrow\;\;\;\;\;\; -\frac{27}{40}x &\ge & y - \frac{1}{4}\\\\\Rightarrow\;\;\;\;\;\;\;\;\;\; -x &\ge & \frac{40}{27}\left( y-\frac{1}{4} \right).\hspace{1cm}(1)$

Since y ∈ B, -2 ≤ y ≤ 7. So,

$\;\;\;\;\;\;\;\,-2 - \frac{1}{4}\; \le\; y - \frac{1}{4} \;\le\; 7 - \frac{1}{4}\\\\\Rightarrow\;\;\;\;\;\;\;\;\; -\frac{9}{4}\; \le\; y - \frac{1}{4} \;\le\; \frac{27}{4}\\\\\Rightarrow\;\;\; -\frac{9}{4}\cdot \frac{40}{27} \;\le\; \frac{40}{27} \left( y-\frac{1}{4} \right) \;\le \;\frac{27}{4}\cdot \frac{40}{27}\\\\\Rightarrow\;\;\;\;\;\;\;\; -\frac{10}{3} \;\le\; \frac{40}{27}\left( y - \frac{1}{4} \right)\; \le\; 10.$