By Mary Jane Sterling

ISBN-10: 047061840X

ISBN-13: 9780470618400

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**Sample text**

You indicate “or equal to” by using a bracket. ✓ If the solution doesn’t include the end number, you use a parenthesis. ✓ When the interval doesn’t end (it goes up to positive infinity or down to negative infinity), use +∞ or –∞, whichever is appropriate, and a parenthesis. Here are some examples of inequality notation and the corresponding interval notation: Inequality Notation Linear Notation x<3 (–∞, 3) x ≥ –2 [–2, ∞) 4≤x<9 [4, 9) –3 < x < 7 (–3, 7) 20 Algebra II Essentials For Dummies Solve the inequality –8 ≤ 3x – 5 < 10.

Solve for x in . First, add 6 to both sides of the equation to get the radical by itself on the left. Then square both sides of the equation. Now set the quadratic equation equal to 0 and solve it: The two solutions work for the quadratic equation that was created, but they don’t necessarily work in the original equation. Check the work! When x = –3, you get The solution x = –3 works. Checking x = –5, you get This solution works, too. Chapter 4: Rolling Along with Rational and Radical Equations 41 Both solutions working out is more the exception rather than the rule.

First factor out an x with the exponent of . Then set the two factors equal to 0 to solve for x. You come up with two perfectly civilized answers: x = 0 and x = 27. Factoring quadratic-like fractional terms Often, you can factor trinomials with fractional exponents into the product of two binomials. This is another version of the quadratic-like trinomials. After the factoring, you set the two binomials equal to 0 to determine if you can find any solutions. Solve . First, factor the left side into the product of two binomials.

### Algebra II Essentials For Dummies (For Dummies (Math & Science)) by Mary Jane Sterling

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