Question

an inequality is shown?
26.8 + d > 33.5
determine if each possible value for d will make this inequality true or false.
8
true
false
6
true
false
6.7
true
false
5.9
true
false
7.5
true
false
6.5
true
false

Explanation:

To determine if a value of \( d \) makes the inequality \( 26.8 + d \geq 33.5 \) true, we solve for \( d \) first: \( d \geq 33.5 - 26.8 = 6.7 \). Now we check each value:

Step 1: For \( d = 8 \)

Substitute \( d = 8 \) into the inequality: \( 26.8 + 8 = 34.8 \). Since \( 34.8 \geq 33.5 \), this is True.

Step 2: For \( d = 6 \)

Substitute \( d = 6 \): \( 26.8 + 6 = 32.8 \). Since \( 32.8 < 33.5 \), this is False.

Step 3: For \( d = 6.7 \)

Substitute \( d = 6.7 \): \( 26.8 + 6.7 = 33.5 \). Since \( 33.5 \geq 33.5 \), this is True.

Step 4: For \( d = 5.9 \)

Substitute \( d = 5.9 \): \( 26.8 + 5.9 = 32.7 \). Since \( 32.7 < 33.5 \), this is False.

Step 5: For \( d = 7.5 \)

Substitute \( d = 7.5 \): \( 26.8 + 7.5 = 34.3 \). Since \( 34.3 \geq 33.5 \), this is True.

Step 6: For \( d = 6.5 \)

Substitute \( d = 6.5 \): \( 26.8 + 6.5 = 33.3 \). Since \( 33.3 < 33.5 \), this is False.

Answer:

• \( d = 8 \): True
• \( d = 6 \): False
• \( d = 6.7 \): True
• \( d = 5.9 \): False
• \( d = 7.5 \): True
• \( d = 6.5 \): False