One thing to note: if you divide or multiply a linear inequality by a negative number you must switch the inequality sign. That means if you have and you divide the linear inequality by -2 to isolate y, then the sign switches to ≥. The inequality becomes .
Let’s see some examples.
First example (click here):
By using simple algebra, x was isolated and the answer was calculated. You can see that the sign was switched because the inequality was multiplied by -2.
Second example (click here):
Last example (click here):
Solving linear inequalities is pretty simple if you’ve solved linear equations before. As long as you remember to switch the inequality sign when multiplying or dividing the inequality by a negative number, then you are good to go! If you need more help or practice on this topic, check out Symbolab’s inequality practice.
Until next time,