Solving Inequalities and Operations

This video tutorial demonstrates how to solve inequalities, focusing on the rules for adding, subtracting, multiplying, and dividing positive and negative numbers. It provides step-by-step solutions to three example problems, emphasizing the importance of switching inequality signs when multiplying or dividing by negative numbers. The tutorial aims to help viewers understand and apply these concepts effectively.

What is the main goal when solving inequalities?

• To make both sides equal

• To switch the inequality sign

• To find the value of X

• To eliminate all numbers

Tags

CCSS.HSA.REI.A.1

When solving the inequality -5X - 25 ≥ 10, what is the first step?

• Subtract 25 from both sides

• Add 25 to both sides

• Multiply both sides by -5

• Divide both sides by 5

Tags

CCSS.6.EE.B.8

What must you remember when dividing both sides of an inequality by a negative number?

• Add the same number to both sides

• Switch the inequality sign

• Multiply both sides by a positive number

• Subtract the same number from both sides

Tags

CCSS.6.EE.B.8

In the inequality -5X ≥ -35, what is the value of X after solving?

• X ≤ -7

• X ≥ -7

• X ≥ 7

• X ≤ 7

Tags

CCSS.7.NS.A.1B

What operation is performed to simplify the expression -6 + (-3)?

• Multiplication

• Subtraction

• Addition

• Division

Tags

CCSS.6.EE.B.7

When solving 3X = -9, what is the value of X?

• X = -9

• X = -3

• X = 3

• X = 9

Tags

CCSS.6.EE.B.8

In the inequality -6X ≤ 36, what is the value of X after solving?

• X ≥ -6

• X ≤ -6

• X ≥ 6

• X ≤ 6

Tags

CCSS.6.EE.B.8

What happens to the inequality sign when dividing by a negative number?

• It stays the same

• It switches direction

• It becomes an equal sign

• It is removed

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

What is the result of dividing 36 by -6?

• -6

• 6

• -36

• 36

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