2 Answers

Nabn · Answer 1 · 2023-11-17T15:54:28+0000

$\huge\text{Answer:}$

$\huge\mathrm{a>-4}$

$\huge\text{Solution:}$

Hi there, hope you are having a nice day! :)

Let's solve the given inequality.

$\rm{\displaystyle(a)/(-4) <1$

First of all, let's get rid of the fraction by multiplying both sides by -4:

$\rm{a>-4$ (Answer)

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Additional comment

Remember the Golden Rule of Algebra:

Whatever we do to one side, we do to the other.

If we divide one side by -4, we divide the other one by -4 as well.

Also, we flip the inequality sign when we divide by a negative variable.

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Hope you find it helpful.

Feel free to ask if you have any doubts.

$\bf{-MistySparkles^**^*$

Alexey Kiselev · Answer 2 · 2023-11-20T18:45:37+0000

$(a)/( - 4) < 1 \\$

Multiply both sides by - 4

$(a)/( - 4) * ( - 4) > 1 * ( - 4) \\$

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Hint :

The direction of the inequalities changes when u multiply or divide the sides by a negative number

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a > - 4