List Of How To Solve Inequalities Algebraically References

2 > T 2 > 1.

This rational inequality is not in general form. Rearrange the inequality so that all the unknowns are on one side of the inequality sign. We want to solve for the x and switch its sides of the inequality.

This Will Require Some Subtracting, Adding, Multiplying, And Dividing.

It explains how to graph the solution using a number line a. Now multiply both sides by −(1/5). First, remember that when we say that a a is less than b b we mean that a a is to the left of b b on a number line.

Show The Answer On A Number Line.

Type = for less than or equal to. To be neat, the smaller number should be on the left, and the larger on the. Example 5 solve 3×2 −2x−11 > 0 3 x 2 − 2 x − 11 > 0.

Now, All Of The Examples That We’ve Worked To This Point Involved Factorable Polynomials.

First, let's subtract 20 from both sides: In this case you are subtracting ‘6’ ‘6’ from both sides. Always switch the direction of the inequality whenever you divide or multiply a negative number to both sides of the inequality.

Next, Don’t Forget How To Correctly Interpret ≤ ≤ And ≥ ≥.

We will start by looking at the inequality x + 1 < 3. The solution of the inequality x \le 7 x ≤ 7 includes 7 7 and everything to its left. We should work one of these just to show you how they work.