Question

Given: -6x < 36.

Choose the solution set.
1. x
2. x
3. x
4. x < 6

Answer 1

Hii!

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`\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup`

x>-6

`\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup`

Let's find the value of x in this inequality!

Remember, to find the value of a variable, we need to get that variable all by itself on one side of the equation.

Here all we need to do is divide both sides by -6.

`\twoheadrightarrow\sf -6x/(-6) < 36/(-6)`

`\bullet` Simplify

`\twoheadrightarrow\sf x > -6`

`\bullet` Note that the inequaiity sign changed. This happens everytime we divide, or multiply, both sides by a negative variable.

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`\therefore, the\;answer\;is:\\\\\twoheadrightarrow\sf x > -6`

`\bullet` Great job! We solved the inequality.

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Hope that this helped! Best wishes.

`\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}`

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