Exploring Solving Inequalities in Grade 7

This video focuses on solving inequalities, explaining how they describe a range of numbers. It uses real-world examples, such as age requirements for a driver's license and a pen-selling scenario, to illustrate how inequalities work. The video also covers solving inequalities through equations and checking solutions. A school fundraiser example demonstrates using inequalities to meet financial goals. The video concludes with a summary of expressions, equations, and inequalities.

What symbol is used to represent 'greater than or equal to'?

• =

• >

• <

• ≥

What does an inequality represent?

• A range of numbers

• A geometric shape

• A specific number

• A mathematical equation

How many pens must Elena sell to have exactly $20?

• 11 pens

• 10 pens

• 12 pens

• 9 pens

What inequality represents Elena wanting more than $20?

• 1.5x + 5 > 20

• 1.5x + 5 = 20

• 1.5x + 5 ≤ 20

• 1.5x + 5 < 20

Is selling 10 pens a solution to the inequality for Elena's goal of more than $20?

• Only if she sells them for more than $1.50 each

• Yes

• Only if she sells them for exactly $1.50 each

• No

What is the boundary value of x in the inequality 3(10 - 2x) < 18?

• 5

• 0

• 3

• 2

Which value of x is a solution to the inequality 3(10 - 2x) < 18?

• x = 5

• x = 0

• x = 2

• x = 3

Which inequality represents the school clubs raising more than the minimum goal?

• 100 + 12n ≤ 500

• 100 + 12n = 500

• 100 + 12n > 500

• 100 + 12n < 500

What is the minimum amount each club needs to raise to meet the school fundraiser goal?

• $33.33

• $50

• $100

• $500

Can the value of n be a fraction in the context of the school fundraiser?

• Yes, but only if it's less than 33.33

• No, n must be a whole number

• No, n must be exactly 33.33

• Yes, any value greater than 33.33