Flipping the Sign in Inequalities Explained

What operation on both sides of an inequality does not change its truth value?

• Subtracting a negative number

• Adding a positive number

• Multiplying by a negative number and flipping the sign

• Dividing by zero

Tags

CCSS.6.EE.B.8

Why do we need to flip the sign when multiplying or dividing by a negative number?

• Because it's a universally accepted convention

• To maintain the inequality's truth value

• To make the inequality false

• It's an arbitrary rule with no real justification

Tags

CCSS.6.EE.B.8

What happens if you multiply both sides of an inequality by a positive number?

• The inequality becomes an equation

• Nothing, the inequality's truth value remains the same

• The inequality becomes invalid

• The inequality's direction flips

Tags

CCSS.6.EE.B.8

How can the truth value of an inequality be maintained?

• By converting it into an equation

• By flipping the sign when necessary

• By only adding or subtracting numbers

• By never performing any operations on it

Tags

CCSS.6.EE.B.8

When solving inequalities, what is similar to solving equations?

• Inequalities do not have solutions

• You can perform the same operations on both sides

• Flipping the sign is always necessary

• You cannot add or subtract numbers

Tags

CCSS.6.EE.B.8

What is a key difference between solving equations and inequalities?

• Inequalities require guessing the solution

• Equations can only have one solution

• Inequalities require flipping the sign when multiplying or dividing by a negative number

• Equations are easier to solve

Tags

CCSS.6.EE.B.8

What is the result of dividing both sides of an inequality by a negative number?

• The inequality becomes an equation

• The inequality's direction flips

• The inequality is no longer valid

• The inequality remains unchanged

Tags

CCSS.6.EE.B.8

What does dividing by the reciprocal of a negative number imply?

• The inequality's direction remains the same

• It's equivalent to multiplying by a positive number

• The inequality's direction flips

• It has no effect on the inequality

Tags

CCSS.6.EE.B.8

How can you verify the correctness of an inequality's solution?

• By asking someone else to solve it

• By guessing and checking random values

• By ignoring the sign flip rule

• By substituting a value within the solution set and checking the inequality

Why is checking the solution of an inequality important?

• To make the problem more complex

• Because it's a mandatory step in all math problems

• To ensure the sign was flipped correctly

• Checking is not necessary

Tags

CCSS.6.EE.B.8