# Chapter 3 - Solving Inequalities - 3-6 Compound Inequalities - Lesson Check - Page 204: 1

$0\leq x\lt8$

#### Work Step by Step

Let x be the unknown number. $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underbrace{x\geq0}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underbrace{x\lt8}$ All real numbers that are greater than or equal to 0 $\underbrace{and}$ less than 8 The "and" tells us that a single inequality with two operators can be used to express the inequality. Put the x in the middle of the inequality and orient the inequality signs so that both point in the same direction. Either $0\leq x\lt8$ or $8\gt x\geq0$ represent the phrase correctly.

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