How to Describe the Solutions of Each Inequality in Words

Another commonly used and arguably the most concise method for describing inequalities and solutions to inequalities is called interval notation. 12 2x 6.

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X is greater than or equal to 6 b.

. 2 is less than or equal to r 2. Now subtract 6 from each part. Sometimes we need to use algebra to describe situations that may call for a range of solutions instead of one particular solution.

3 t 12 3. 2 b 10 Graph each inequality. You must purchase at least 5 tickets to receive a discount.

Unit 2 Inequalities Test Sections 31 34 For 1 and 2 describe the solutions of each inequality in words. Then give 3 solutions of the inequality. Suppose a low-sodium food has at most 140 mg per serving.

Describe the solutions of each inequality in words. B - 3 6. The solution to an and compound inequality are all the solutions that the two inequalities have in common.

Explain the meaning of each sentence in words. R is less than 2 d. Test values of x that are positive negative and 0.

So well start an inequality well do what they told us to. -15 2 o 2 3 3 4 2 4 5 3 5 6 4 Write an inequality for each situation and graph the solutions. With this convention sets are built with parentheses or brackets each having a distinct meaning.

S has to be they say when an object travels faster than the speed of sound. 25 c 7. 3 - 4 7 Write the inequality shown by each graph.

An inequality can have more than one solution. Now divide each part by 2 a positive number so again the inequalities dont change. Peter begins his kindergarten year able to spell 10 words.

6 6 5. 2 1 2 yes 7 7 5. Remember that on a number line values increase from left to right.

2 r a. - 6 m 2. EXAMPLE 1 Identifying Solutions of Inequalities Describe the solutions of 3 x 9 in words.

Write an inequality that models this situation. Then s 140 Example 2 The height of a human being is not greater than 10 feet. A solution of an inequality is any value that makes the inequality true.

Y - 25 8. Correct answer to the question Describe the solutions of each inequality in words. ä Ó Î x.

When we see a statement like 0x 4 also written as 0x and x 4 or as x. There is a multiplier of -2 as a coefficient on t. Because we are multiplying by a negative number the inequalities change direction.

Corresponds to the less than. - x 2 4. Another commonly used and arguably the most concise method for describing inequalities and solutions to inequalities is called interval notation.

2x 6 a. Write the inequality shown by each graph. The solutions to latexxgeq 4latex are represented as latexleft4infty rightlatex.

Up to 24 cash back -I Graphing and Writing Inequalities Describe the solutions of each inequality in words. How to write an inequality. Value of x x 5 2 Is the inequality true.

0x 4 the compound inequality or the word and denotes the intersection of the two sets of numbers which satisfy each inequality. Solution Let s number of milligrams of sodium in a serving of low-sodium food. In other words both statements must be true at the same time.

0x 4 x. 2 is greater than r b. The maximum load for an elevator is 2900 lbs.

The set of all solutions of an inequality is called the solution set. 6 x 3. Write an inequality that models this situation.

Consider the number line shown. Remember that when you DO THAT divide or multiply by a negative number you must REVERSE the inequality sign. The solution of a compound inequality that consists of two inequalities joined with the word and is the intersection of the solutions of each inequality.

X is greater than or equal to 3. That should leave you in good shape for graphing or however else you want to show your result. The solutions to x 4 x 4 are represented as 4 4.

A car can seat up to 8 passengers. Write each statement as an inequality. Between above phrases joined by and within above phrases joined by or less than equal greater than is less than is are will be only more than.

When that is the case we can use an inequality to describe the situation instead of an equation. Dou must be at least 13 years old to join. With this convention sets are built with parentheses or brackets each having a distinct meaning.

H 23 10. To get rid of that you must divide each side of the inequality by -2. X-275 0 599 6 601 61 3 x 025 3 899 9 901 91 3 x 9 025 93 9 899 99 9 901 9 91 9 Solution.

Finally sketch a graph of each inequality. No persons under the age of 18 are permitted. Write an inequality to represent s the speeds at which a moving object creates a sonic boom.

Now multiply each part by 1. Graphically you can think about it as where the two graphs. Sketching the Graphs of Linear Inequalities A solution of an inequality is a value that makes the inequality true.

Yes Yes Yes No No No. Then define a variable and write a mathematical statement to represent each statement. At most bottom is no more than Compound inequality phrases.

7 minus 5 is less than x 8 is greater than or equal to u H is greater than 5 times 8 P times 7 is less than or equal to 63. He is going to learn to spell 2 new words every day. R is greater than 2 c.

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