Given: -6x < 36. Choose the solution set. 1. x < -6 2. x > 6 3. x 4. x

Question

asked Aug 23, 2023 153k views

1 Answer

Mangrio · Answer 1 · 2023-08-28T03:43:28+0000

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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