Define a variable and write an inequality to model

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caitybugking

18.09.2021

Let the number of watts =w ‘no more than’ means less than or equal to, thus we will use that sign. The inequality can be written as: w<75

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awesomegrill

11.08.2022

Mathematics

Distribute $3x$ into $(x-a)$ . $\begin{aligned} 3x(x-a)+x& =3x^2-5x \\ 3x^2 - a3x + x & = 3x^2 - 5x \end{aligned}$ subtract $3x^2$ from both sides. $\begin{aligned} 3x^2 - a3x + x & = 3x^2 - 5x \\ - a3x + x & = -5x \end{aligned}$ subtract $x$ from both sides. $\begin{aligned} - a3x + x & = -5x\\ - a3x & = -5x -x \\ - a3x & = -6x \end{aligned}$ divide both sides by $-3x$ $\begin{aligned} - a3x & = -6x \\ \frac{a(-3x)}{-3x} & = \frac{-6x}{-3x} \\ a & = 2 \end{aligned}$ a = 2

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Define a variable and write an inequality to model each situation. A light bulb can be no more than 75 watts to be safely used in this light fixture.

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