Question

Given: -6x < 36.

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.

$\twoheadrightarrow\sf -6x\div(-6) < 36\div(-6)$

$\bullet$ 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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