Question

Substitute each variable to determine whether the inequality statement is true or false.

1.) 9 > d , d = 3

2.) -16 > -f , f = 15

Answer 1

Part 1)

Given the inequality

• 9 > d

and

• d = 3

substituting d = 3 in the inequality

9 > d

9 > 3

TRUE!

Reason: 9 is indeed greater than 3.

Thus,

9 > d , d = 3 is a TRUE statement.

Part 2)

Given the inequality

• -16 > -f

and

• f = 15

substituting f = 15 in the inequality

-16 > -f

-16 > -15

FALSE!

Reason: -16 is NOT greater than -15.

Thus,

-16 > -f , f = 15 is a FALSE statement.