How to Describe the Solution of an Inequality

How to Describe the Solution of an Inequality

Assessment

Interactive Video

Mathematics

10th - 12th Grade

Hard

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The video tutorial explains how to solve a standardized math test question involving inequalities. It describes the solution set for the inequality 'X is less than nine' using a number line. The tutorial emphasizes that the solution set includes all numbers less than nine, represented by an open circle on the number line. It then evaluates multiple-choice options, clarifying that the correct answer is that there are infinite solutions, as opposed to no solution, one solution, or exactly eight solutions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inequality being discussed in the video?

X is greater than nine

X is less than nine

X is equal to nine

X is not equal to nine

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the inequality 'X is less than nine' represented on a number line?

With a double line on 9

With a shaded circle on 9

With an open circle on 9

With a closed circle on 9

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the open circle on the number line indicate?

Nine is the only solution

Nine is not included in the solution set

Nine is the starting point of the solution set

Nine is included in the solution set

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many solutions exist for the inequality 'X is less than nine'?

No solutions

Exactly one solution

An infinite number of solutions

Exactly eight solutions

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which statement is true about the solution set of the inequality?

There are exactly eight solutions

There are infinite solutions

There are no solutions

There is exactly one solution