Understanding Inequalities

The video tutorial explains how to write mathematical statements as inequalities using variable x. It covers converting inequalities to equivalent forms using different inequality symbols. Examples include expressions involving sums, products, quotients, and differences. The tutorial emphasizes reading inequalities from both left to right and right to left to understand equivalent forms.

What is the correct mathematical representation for 'two less than t is greater than eight'?

• t + 2 > 8

• t - 2 > 8

• t - 2 < 8

• t + 2 < 8

How can the inequality 't - 2 > 8' be rewritten using a less than symbol?

• t + 2 < 8

• t - 2 < 8

• 8 > t - 2

• 8 < t - 2

What is the expression for 'four times the sum of a number and seven'?

• 4 + x + 7

• 4(x + 7)

• x + 4 * 7

• 4x + 7

How can '4(x + 7) < 3' be expressed using a greater than symbol?

• 4(x + 7) < 3

• 3 > 4(x + 7)

• 4(x + 7) > 3

• 3 < 4(x + 7)

Which inequality symbol is used when 'four times the sum of a number and seven is less than three'?

• Not equal to

• Greater than

• Less than

• Equal to

What is the expression for 'the quotient of five and n'?

• 5 + n

• 5/n

• 5n

• n/5

How can '5/n ≤ 2n + 3' be rewritten using a greater than or equal to symbol?

• 2n + 3 ≥ 5/n

• 5/n ≥ 2n + 3

• 2n + 3 ≤ 5/n

• 5/n < 2n + 3

What is the expression for 'the difference between two times x and six'?

• 2x + 6

• 2x - 6

• 6 - 2x

• x - 6

How can '4 ≥ 2x - 6' be expressed using a less than or equal to symbol?

• 4 > 2x - 6

• 4 ≤ 2x - 6

• 2x - 6 ≥ 4

• 2x - 6 ≤ 4

What is the correct inequality for 'four is greater than or equal to the difference between two times x and six'?

• 2x - 6 ≥ 4

• 4 ≥ 2x - 6

• 2x - 6 ≤ 4

• 4 ≤ 2x - 6