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Chapter 1: Q62. (page 46)

Solve each inequality. Describe the solution set using set builder or interval notation. Then graph the solution set on a number line.

7x+11>9x+3

Short Answer

Expert verified

Solution set of inequality is (-∞,4).

Solution set on number line is

Step by step solution

01

- Write properties of inequality.

Properties of inequalities are written in following table:

02

- Solve 7x+11>9x+3.

To solve given inequality, use subtraction and division properties of inequality. Subtract 7xthen 3 from each side and do not change the sign of inequality. Then divide each side by 2 and simplify.

7x+11−7x>9x+3−7x11−3>2x+3−382>2x24>x

Thus, solution is4>x.

03

– Describe solution set in interval notation.

Assolution set of the inequality is all real numbers less than 4.

Write the solution set in interval notation.

(-∞,4)

04

– Graph the solution set.

Open circle on 4 shows this point is excluded in the solution set.

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Most popular questions from this chapter

Find the value of each expression

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Suppose a patient must take a blood pressure medication that is dispensed in 125-milligram tablets. The dosage is 15 milligrams per kilo gram of body weight and is given every 8 hours. If the patient weighs 25 kilograms, how many tablets would be needed for a 30-day supply? Use the formula n=24d÷8b×15÷125, wheren is the number of tablets,d is the number of days the supply should last, andb is the body weight of the patient in kilograms.

Name the sets of numbers to which all of the following numbers belong. Then arrange the numbers in order from least to greatest.

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