Translating Words into Algebraic Inequalities

What does the phrase 'the quotient of a number and 2 is less than or equal to 6' translate to in algebraic form?

• 2/x ≤ 6

• 2/x ≥ 6

• x/2 ≤ 6

• x/2 ≥ 6

How would you write '1/2 is greater than the product of a number and 3/4' in algebraic form?

• 1/2 < 3/4x

• 1/2 > 3/4x

• 1/2 ≤ 3/4x

• 1/2 ≥ 3/4x

Translate 'the difference of a number and 2.8 does not equal 8.2' into an algebraic inequality.

• x + 2.8 = 8.2

• x - 2.8 ≠ 8.2

• x - 2.8 = 8.2

• x + 2.8 ≠ 8.2

What does '75 more than the product of 20 and a number is at least 195' translate to in algebraic form?

• 20x + 75 ≤ 195

• 20x + 75 ≥ 195

• 20x - 75 ≥ 195

• 20x - 75 ≤ 195

How would you write '6 is greater than the sum of a number and 8' in algebraic form?

• 6 ≥ x + 8

• 6 < x + 8

• 6 ≤ x + 8

• 6 > x + 8

Translate 'the product of two and a half and a number is less than 15' into an algebraic inequality.

• 2.5x > 15

• 2.5x ≥ 15

• 2.5x < 15

• 2.5x ≤ 15

Translate '8 more than a number is less than six' into an algebraic inequality.

• x - 8 > 6

• x - 8 < 6

• x + 8 > 6

• x + 8 < 6

What does '15 is greater than two and a half times a number' translate to in algebraic form?

• 15 ≤ 2.5x

• 15 ≥ 2.5x

• 15 < 2.5x

• 15 > 2.5x

What does 'four more than the product of negative two and a number is at least negative eight' translate to in algebraic form?

• -2x - 4 ≤ -8

• -2x - 4 ≥ -8

• -2x + 4 ≤ -8

• -2x + 4 ≥ -8

How would you write 'six less than three times a number is no more than negative 30' in algebraic form?

• 3x - 6 ≤ -30

• 3x - 6 ≥ -30

• 3x + 6 ≤ -30

• 3x + 6 ≥ -30