Understanding Inequalities

The video tutorial by Mr. J explains when to flip the inequality sign while solving inequalities. It covers the rule that the inequality sign should be flipped when both sides are multiplied or divided by a negative number. The tutorial includes four examples, demonstrating both correct and incorrect applications of this rule. The first example shows an incorrect solution without flipping the sign, while the second example illustrates a scenario where flipping is unnecessary. The third and fourth examples correctly apply the rule, reinforcing the concept. The video aims to clarify the importance of maintaining balance in equations and provides practical examples to solidify understanding.

When solving inequalities, when should you flip the inequality sign?

• When multiplying or dividing both sides by a positive number

• When subtracting a positive number from both sides

• When multiplying or dividing both sides by a negative number

• When adding a negative number to both sides

In Example 1, what was the mistake made initially?

• Not isolating the variable

• Adding instead of subtracting

• Multiplying by a positive number

• Not flipping the inequality sign

What is the correct solution for the inequality in Example 1 after flipping the sign?

• x is less than or equal to 4

• x is greater than or equal to -4

• x is less than or equal to -4

• x is greater than or equal to 4

In Example 2, why was it unnecessary to flip the inequality sign?

• Because both sides were multiplied by a negative number

• Because the inequality was already true

• Because both sides were divided by a positive number

• Because the variable was already isolated

What is the solution for the inequality in Example 2?

• n is greater than 21

• n is less than -21

• n is less than 21

• n is greater than -21

In Example 3, what operation was performed to isolate the variable?

• Subtracting a negative number

• Dividing by a positive number

• Multiplying by a negative number

• Adding a positive number

What is the correct solution for the inequality in Example 3 after flipping the sign?

• w is greater than or equal to 35

• w is less than or equal to 35

• w is less than or equal to -35

• w is greater than or equal to -35

In Example 4, what was the initial inequality given?

• 27 is greater than or equal to -9 times y

• 27 is greater than -9 times y

• 27 is equal to -9 times y

• 27 is less than -9 times y

What is the correct solution for the inequality in Example 4 after flipping the sign?

• y is greater than -3

• y is less than -3

• y is greater than 3

• y is less than 3

What is the key takeaway from the video regarding flipping inequality signs?

• Flip the sign when the variable is isolated

• Never flip the sign

• Flip the sign only when multiplying or dividing by a negative number

• Always flip the sign when adding or subtracting