Question

172 - w < 99
determine if each possible value for w will make this inequality true or false.
true false
73
62
99
72
81
74

Explanation:

Step1: Solve inequality for $w$

$$172 - w < 99$$
$$-w < 99 - 172$$
$$-w < -73$$
$$w > 73$$

Step2: Check each value against $w>73$

• For $w=73$: $73

ot> 73$ → False

• For $w=62$: $62

ot> 73$ → False

• For $w=99$: $99 > 73$ → True
• For $w=72$: $72

ot> 73$ → False

• For $w=81$: $81 > 73$ → True
• For $w=74$: $74 > 73$ → True

Answer:

• 73: False
• 62: False
• 99: True
• 72: False
• 81: True
• 74: True