[tex] \frac{a}{ - 4} < 1 \\ [/tex]
Multiply both sides by - 4
[tex] \frac{a}{ - 4} \times ( - 4) > 1 \times ( - 4) \\ [/tex]
====================================================
The direction of the inequalities changes when u multiply or divide the sides by a negative number
====================================================
[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)
_____________
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.
____________
Hope you find it helpful.
Feel free to ask if you have any doubts.
[tex]\bf{-MistySparkles^**^*[/tex]
