Inequalities and Graphing Concepts

This video tutorial covers two-step inequalities, explaining the rules and demonstrating solutions through examples and word problems. Key concepts include handling inequalities with negative numbers and graphing solutions. The tutorial emphasizes understanding the rules for flipping inequality symbols and solving word problems with constraints.

What happens to the inequality symbol when you multiply or divide both sides by a negative number?

• It disappears

• It becomes an equal sign

• It flips

• It stays the same

In the inequality -7b < -35, what is the value of b after solving?

• b > 5

• b < 5

• b = 5

• b ≥ 5

When graphing the solution h ≥ 7, what type of circle should be used?

• Half-filled circle

• No circle

• Closed circle

• Open circle

In the inequality 13 ≥ -2w, what is the value of w after solving?

• w ≤ -6.5

• w ≥ -6.5

• w > -6.5

• w < -6.5

Why is it important to have the variable on the left side of the inequality when graphing?

• It ensures the inequality symbol is correct

• It is easier to read

• It is a rule of algebra

• It makes the graph look better

What is the solution to the inequality x ≤ -6?

• x > -6

• x < -6

• x ≥ -6

• x ≤ -6

In the inequality d > -40, what type of circle is used for graphing?

• Open circle

• Half-filled circle

• Closed circle

• No circle

Macy is making bracelets and does not want to spend more than $40. If the wire costs $6, how much can she spend on beads and charms per bracelet?

• $6.50

• $7.00

• $6.20

• $6.80

Kelly wants to raise at least $115 by selling granola bags. If she received a $10 donation and has 28 bags, how much should she charge per bag?

• $3.50

• $3.75

• $4.00

• $4.25

What is the first step in solving the inequality 5c + 6 ≤ 40?

• Subtract 6 from both sides

• Multiply by 5

• Divide by 5

• Add 6 to both sides