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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

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 Ineq. #9:

 Solve for:

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# Solving Inequalities

Goals
You will learn (review) to
• understand inequalities analytically (with symbolic expressions),
graphically, and verbally.
• solve linear inequalities;
• solve absolute-value inequalities;
• solve quadratic inequalities;
• solve combined inequalities;
• use inequalities for mathematical modeling.

Practice Problems

Problem 1 Use the graph below to answer the following. Approximate to
the nearest 0.1 unit. Write answers in both interval and inequality
notation. (a) f(x) ≥ 0

(b) f(x) ≤g(x)

(c) f(x)g(x) > 0

Problem 2 Write as an inequality: “u is more than 5 units from −1.”
Graph the solution set, express the solution set in interval and inequality
notation (different from the original inequality).

Problem 3 Solve each inequality. Express the solution using set notation,
interval notation, and a graph.
(a) x − 5 < −4
(b) 7 − 2x ≥ 3
(c) −5 ≤ 4 − 7x < 17

Problem 4   