Exploring Writing and Graphing Inequalities

This video tutorial covers the basics of inequalities, including writing and graphing linear inequalities. It explains the symbols used in inequalities and how to determine which symbol to use based on phrases. The tutorial also demonstrates how to check if a number is a solution to an inequality and how to graph inequalities on a number line. Additionally, it provides a practical example of using inequalities to represent height restrictions for amusement park rides.

Which symbol represents 'greater than or equal to'?

• ≥

• ≤

• >

• <

How can you distinguish the 'less than' symbol from the 'greater than' symbol?

• The 'greater than' symbol points to the left.

• The 'less than' symbol points to the left.

• The 'less than' symbol points to the right.

• The 'greater than' symbol points to the left and has a line underneath.

Convert the sentence 'A number w minus 3.5 is less than or equal to -2' into an inequality.

• w + 3.5 ≤ -2

• w - 3.5 ≤ -2

• w - 3.5 ≥ -2

• w - 3.5 > -2

What is the inequality for the sentence '3 is less than a number n plus five'?

• 3 ≥ n + 5

• 3 > n + 5

• 3 < n + 5

• 3 ≤ n + 5

If -4 is substituted into the inequality -4 + 8 < -3, is it a solution?

• No, because -4 + 8 equals 4.

• Yes, because -4 + 8 is less than -3.

• No, because -4 + 8 is greater than -3.

• Yes, because -4 + 8 equals -3.

Determine if -4 is a solution for the inequality -4.5(-4) > -21.

• No, because -4.5(-4) equals 18, which is less than -21.

• Yes, because -4.5(-4) equals 18, which is greater than -21.

• No, because -4.5(-4) equals -18, which is less than -21.

• Yes, because -4.5(-4) equals -18, which is greater than -21.

What does a closed circle on a number line represent?

• The number is not a solution.

• The number is a solution.

• The inequality is strict.

• The inequality is not strict.

How would you graph the inequality y ≤ -3 on a number line?

• Open circle at -3, arrow pointing to the right.

• Closed circle at -3, arrow pointing to the left.

• Closed circle at -3, arrow pointing to the right.

• Open circle at -3, arrow pointing to the left.

What inequality represents the height restriction for a ride with a closed circle at 48 and an arrow pointing to the right?

• h < 48

• h ≤ 48

• h > 48

• h ≥ 48

For a ride with an open circle at 52 and an arrow pointing to the left, what is the inequality?

• h < 52

• h ≤ 52

• h ≥ 52

• h > 52