Solve inequalities
An inequality is a statement how the relative size or order of two objects, or about whether they are the same or not.
$$a<b$$a is less than b.
$$a>b$$a is greater than b.
$$a=b$$a is equal to b.
If we add or subtract the same number to each side of an inequality then we don not change the truth of the inequality.
Example
Solve the inequality for a
$$a+b>c$$
We subtract b from both sides:
$$a+b-b>c-b$$
$$a>c-b$$
If we multiply or divide by a negative number than we must reverse the order of the inequality
If c is positive (and not zero) and a < b, then ac < bc and a/c < b/c
If c is negative (and not zero) and a < b, then ac > bc and a/c > b/c
Video lesson
Solve the inequality -4(x+3)>24