Prosperities of Inequalities

Properties of Inequalities

Module 3 Lesson 12

Multiple Choice

Would adding 2 to both sides of this inequality preserve or reverse the symbol? -2 > -5

• preserve

• reverse

Multiple Choice

Would adding -2 to both sides of this inequality preserve or reverse the symbol? -2 > -5

• preserve

• reverse

Multiple Choice

Would multiplying 2 to both sides of this inequality preserve or reverse the symbol? -2 > -5

• preserve

• reverse

Multiple Choice

Would multiplying -2 to both sides of this inequality preserve or reverse the symbol? -2 > -5

• preserve

• reverse

Multiple Choice

When was the inequality symbol reversed?

• add 2

• add -2

• multiply by 2

• multiply by -2

Preserved or Reversed

• Adding or Subtracting any integer preserves the symbol

• Multiplying or Dividing by a positive integer preserves the symbol

• Multiplying of dividing by a negative integer reverses the symbol

Multiple Select

Which will preserve the inequality symbol?

• n + 3

• n - 3

• n × 3

• n ÷ 3

Multiple Select

Which preserves the inequality symbol?

• n + -3

• n - (-3)

• n × -3

• n ÷ -3

Multiple Select

Which of the following statements are true?

• All addition preserves the sign.

• All subtraction preserves the sign

• All multiplication preserves the sign

• All division preserves the sign

• Only multiplying or dividing by a positive preserves the sign.

Multiple Select

Which of the following reverses the inequality symbol?

• adding a negative

• subtracting a negative

• multiplying by a negative

• dividing by a negative

Multiple Select

These preserve the sign

• Adding 2 to both sides

• Multiplying by -1

• Multiplying by 2

• Multiplying by -3

• Dividing by 2

Multiple Select

These will reverse the sign

• Adding -2

• Multiplying by -2

• Multiplying by 3

• Dividing by -2

• Dividing by 2

Multiple Choice

When both sides of an inequality is added or subtracted by a number we say the symbol is

• preserved

• reversed

Multiple Choice

When both sides of an inequality is multiplied by a positive we say the symbol is

• preserved

• reversed

Multiple Choice

When both sides of an inequality is multiplied by a negative we say the symbol is

• preserved

• reversed

Exit Ticket Questions

Multiple Choice

What must c be to make the statement true?

c(-4) < c(7)

• c < 0

• c > 0

• c = 0

Multiple Choice

Which statement preserves the symbol in c(-4) > c(7)

• c < 0

• c > 0

• c = 0

Multiple Choice

Which statement preserves the symbol for c(-4) = c(7)

• c < 0

• c > 0

• c = 0

Multiple Select

For 2 > -4 which of the following will preserve the inequality symbol?

• Multiply by -2 on both sides

• Add -2 to both sides

• Divide by 2 on both sides

• Multiply by -1/2 from both sides

• Subtract -3 from both sides

PROBLEM SET M3 L12

Multiple Select

Which statements are true for -2 and -5

• -2 < -5

• -2 > -5

• -5 < -2

• -5 > -2

Multiple Select

Which inequality statement is true for subtracting -2 form both sides

• (-2) - (-2) < (-5) - (-2)

• (-2) - (-2) > (-5) - (-2)

• (-5) - (-2) < (-2) - (-2)

• (-5) - (-2) > (-2) - (-2)

Multiple Select

Which statement is true for multiplying both sides by -3?

• -3(-2) < -3(-5)

• -3(-2) > -3(-5)

• -3(-5) < -3(-2)

• -3(-5) > -3(-2)

Multiple Select

A submarine is 150 below sea level and a diver is 75 feet below sea level which statements are true?

• -150 < -75

• -150 > -75

• -150 / 5 < -75 / 5

• -150 / 5 > -75 / 5

Multiple Select

If a is a negative integer, then which of the following is true?

• 5 + a < 5

• 5 + a > 5

• 5 - a > 5

• 5 - a < 5

Multiple Select

If a is a negative integer, then which of the following is true?

• 5a < 5

• 5a > 5

• 5 + a > a

• 5 + a < a

Multiple Select

If a is a negative integer, then which of the following is true?

• 5 - a > a

• 5 - a < a

• 5a > a

• 5a < a