Exploring Writing and Graphing Inequalities

The video tutorial covers the basics of inequalities, including their definition and the symbols used to represent them. It explains how to graph inequalities on a number line, using open and closed dots to indicate solutions. The tutorial also discusses how to write inequalities from verbal phrases, providing examples and practice problems to reinforce learning.

Which symbol represents 'less than'?

• >

• <

• ≥

• ≤

In the context of absolute values, what is the absolute value of -3?

• -3

• 0

• 3

• None of the above

When graphing the inequality x > 5, what type of dot should be used on the number line?

• Closed dot

• Open dot

• Half-filled dot

• No dot

If you have the inequality y ≤ 7, which direction should the arrow point on the number line?

• To the right

• Downwards

• Upwards

• To the left

How should the inequality 3 < x be rewritten to graph it correctly?

• x ≤ 3

• x > 3

• 3 > x

• x < 3

What does the phrase 'at most' indicate in an inequality?

• Greater than or equal to

• Less than or equal to

• Less than

• Greater than

Convert the sentence 'The sum of a number and 4 is less than 10' into an inequality.

• x + 4 < 10

• x + 4 ≤ 10

• x + 4 ≥ 10

• x + 4 > 10

What is the inequality for 'twice a number minus 3 is at least 7'?

• 2x - 3 > 7

• 2x - 3 < 7

• 2x - 3 ≤ 7

• 2x - 3 ≥ 7

In the inequality 5x + 2 ≤ 17, what is the maximum value x can take?

• 2

• 4

• 5

• 3

If a taxi charges a flat fee of $5 and $1.25 per mile, what inequality represents a maximum budget of $20?

• 5 + 1.25m ≥ 20

• 5 + 1.25m > 20

• 5 + 1.25m ≤ 20

• 5 + 1.25m < 20