Understanding Multiplication and Division Inequalities

In this video, Mr. J explains how to solve and graph multiplication and division inequalities. The process involves isolating the variable using inverse operations, similar to solving equations. A key point is to flip the inequality symbol when multiplying or dividing by a negative number. The video includes examples of solving inequalities, graphing solutions on a number line, and verifying solutions to ensure correctness.

What is the first step in solving an inequality?

• Subtract the variable from both sides

• Multiply both sides by zero

• Isolate the variable using inverse operations

• Add a constant to both sides

Tags

CCSS.6.EE.B.8

When should you flip the inequality symbol?

• When the variable is isolated

• When adding a positive number to both sides

• When subtracting a positive number from both sides

• When multiplying or dividing both sides by a negative number

Tags

CCSS.HSA.REI.A.1

In the inequality 5y < 40, what operation should be used to solve for y?

• Division

• Addition

• Subtraction

• Multiplication

Tags

CCSS.6.EE.B.8

How is the solution y < 8 represented on a number line?

• An open circle at 8 with an arrow to the right

• A filled circle at 8 with an arrow to the left

• An open circle at 8 with an arrow to the left

• A filled circle at 8 with an arrow to the right

Tags

CCSS.6.EE.B.8

What happens to the inequality symbol when both sides are divided by a negative number?

• It becomes an equal sign

• It remains the same

• It disappears

• It flips direction

Tags

CCSS.6.EE.B.8

In the inequality -33 ≥ -11m, what is the solution for m?

• m ≤ 3

• m > 3

• m ≥ 3

• m < 3

Tags

CCSS.6.EE.B.8

What operation is used to solve the inequality x/4 ≤ 12?

• Division

• Multiplication

• Subtraction

• Addition

Tags

CCSS.6.EE.B.8

How is the solution x ≤ 48 represented on a number line?

• A filled circle at 48 with an arrow to the left

• An open circle at 48 with an arrow to the left

• A filled circle at 48 with an arrow to the right

• An open circle at 48 with an arrow to the right

Tags

CCSS.6.EE.B.8

In the inequality w/-9 < 7, what is the solution for w?

• w < -63

• w > -63

• w ≥ -63

• w ≤ -63

Tags

CCSS.6.EE.B.8

What is the graphical representation of w > -63 on a number line?

• An open circle at -63 with an arrow to the left

• A filled circle at -63 with an arrow to the left

• A filled circle at -63 with an arrow to the right

• An open circle at -63 with an arrow to the right

Tags

CCSS.6.EE.B.8