# Chapter 1, Equations and Inequalities - 1.6 Solve Inequalities - Guided Practice for Examples 5,6, and 7 - Page 44: 11

$5\geq x\geq 10$ Please see image

#### Work Step by Step

$x+4\leq 9$ or $x-3\geq 7\qquad$ ...solve each inequality separately. $x+4\leq 9\qquad$ ...add $-4$ to each side of the inequality. $x+4-4\leq 9-4\qquad$ ...simplify. $x\leq 5$ $x-3\geq 7\qquad$ ...add $3$ to each side of the inequality. $x-3+3\geq 7+3\qquad$ ...simplify. $x\geq 10$ The solutions are all real numbers that are less or equal to $5$ and greater or equal to $10$. Use solid dots on the number line to indicate $5$ and $10$ are solutions.

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