Grade 12 Math: Inequality Symbols

Grade 12 Math: Inequality Symbols

Read each question carefully and follow the instructions. Show all your work for full credit.

1. Which inequality represents the statement: "The product of a number x and 5 is greater than or equal to 20"?

2. Which of the following is a solution to the inequality -3x + 7 < 16?

3. The symbol "<" represents  .

4. When multiplying or dividing an inequality by a negative number, you must   the inequality sign.

5. Solve the inequality and graph the solution on a number line: 2(x - 3) + 5 ≥ 15

6. Write an inequality to represent the following situation: "A car's speed (s) on a highway must be at least 60 mph and no more than 75 mph."

7. The inequality x < 5 includes the number 5.

8. The solution to |x - 2| > 4 is x < -2 or x > 6.

9. A company produces two types of widgets, A and B. Widget A requires 2 hours of labor and 1 unit of material. Widget B requires 3 hours of labor and 2 units of material. The company has a maximum of 120 hours of labor and 80 units of material available. Let x be the number of Widget A produced and y be the number of Widget B produced. Write a system of inequalities to represent the constraints on production.