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3 years ago

Can someone help me understand how to do multi-step inequalities please??

Mathematics

1 answer:

tangare [24]3 years ago

8 0

Answer:

In the last two sections, we considered very simple inequalities which required one-step to obtain the solution. However, most inequalities require several steps to arrive at the solution. As with solving equations, we must use the order of operations to find the correct solution. In addition remember that when we multiply or divide the inequality by a negative number the direction of the inequality changes.

The general procedure for solving multi-step inequalities is as follows.

Clear parenthesis on both sides of the inequality and collect like terms.

Add or subtract terms so the variable is on one side and the constant is on the other side of the inequality sign.

Multiply and divide by whatever constants are attached to the variable. Remember to change the direction of the inequality if you multiply or divide by a negative number.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Where:

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Since h = 4/3 r we have:

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$\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + 2r^{2}\frac{dr}{dt}]$ (1)

With:

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And by entering the above values into equation (1) we have:

$\frac{dV}{dt} = \frac{4\pi}{9}[(3 in/min)*(36 in)^{2} + 2*(36 in)^{2}*3 in/min]$

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Therefore, the volume is increasing at a rate of 16286 in³/min.

I hope it helps you!

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