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Solve a/-4 < 1 pls help me

Sagot :

hnori22003

[tex] \frac{a}{ - 4} < 1 \\ [/tex]

Multiply both sides by - 4

[tex] \frac{a}{ - 4} \times ( - 4) > 1 \times ( - 4) \\ [/tex]

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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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[tex]a > - 4[/tex]

[tex]\huge\text{Answer:}[/tex]

[tex]\huge\mathrm{a>-4}[/tex]

[tex]\huge\text{Solution:}[/tex]

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

Let's solve the given inequality.

[tex]\rm{\displaystyle\frac{a}{-4} <1[/tex]

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

[tex]\rm{a>-4[/tex] (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.

[tex]\bf{-MistySparkles^**^*[/tex]

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