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Neporo4naja [7]
3 years ago
10

Match the inequality to the number line that represents its solution

Mathematics
2 answers:
pav-90 [236]3 years ago
8 0
Tile 1 goes to graph D
Tile 2 goes to graph B
Tile 3 goes to graph A
Tile 4 goes to graph C

Desmos graphing calculator at desmos.com/calculator is a great tool.
Lelechka [254]3 years ago
4 0
<h2>Answer:     </h2>

<u>Number lines</u>                            <u> Inequality</u>

First                   ⇔              \dfrac{x}{4}\leq\dfrac{-3}{2}

Second             ⇔              \dfrac{-75x}{4}>\dfrac{225}{2}

Third                 ⇔              \dfrac{2x}{3}>\dfrac{-16}{3}

Fourth              ⇔              \dfrac{7x}{9}>\dfrac{-14}{3}

<h2>Step-by-step explanation:</h2>

Inequality 1. \dfrac{7x}{9}>\dfrac{-14}{3}

Multiply both sides by 9 , we get

7x>-42

Divide both sides by 7, we get

x>-6 which is shown by the fourth number line.

Inequality 2. \dfrac{-75x}{4}>\dfrac{225}{2}

Multiply both sides by 4 , we get

-75x>450

Divide both sides by -6, we get

x which is shown by the second number line.

Inequality 3. \dfrac{x}{4}\leq\dfrac{-3}{2}

Multiply both sides by 4 , we get

x\leq-6 which is shown by the first number line.

Inequality 2. \dfrac{2x}{3}>\dfrac{-16}{3}

Multiply both sides by 3 , we get

2x>-16

Divide both sides by 2, we get

x>8 which is shown by the third number line.

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Given that, Two tanks are similar in shape. The capacity of the tanks are 1,000,000 litres and 512, 000 liters respectively.Find the height of the smallest tank if the larger is 300cm tall?

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