Which of the following values are solutions to the inequality x, minus, 7, is less than, 5, question markx−7<5?

Question

I., 12, II., 5, III., 16
I.12II.5III.16
Answer
Multiple Choice Answers
NoneNone
I onlyI only
II onlyII only
III onlyIII only
I and III and II
I and IIII and III
II and IIIII and III
I, II and IIII, II and III

Answer 1

To solve the inequality \( x - 7 < 5 \), we can isolate \( x \) by adding 7 to both sides:

\[ x < 5 + 7 \]

\[ x < 12 \]

Now we need to check each of the given values:

1. \( I. , 12 \): \[ 12 < 12 \quad \text{(False)} \]

2. \( II. , 5 \): \[ 5 < 12 \quad \text{(True)} \]

3. \( III. , 16 \): \[ 16 < 12 \quad \text{(False)} \]

The only value that satisfies the inequality \( x < 12 \) is II. \( 5 \).

Thus, the correct answer is II only.