Question

Which of the following values of x is true for the inequality below?
7.9 + x < 15

A.
x = 15.9
B.
x = 14.1
C.
x = 7.1
D.
x = 0.1

Answer 1

To solve the inequality \( 7.9 + x < 15 \), we can isolate \( x \) by subtracting \( 7.9 \) from both sides:

\[
x < 15 - 7.9
\]
\[
x < 7.1
\]

Now we need to determine which of the given options satisfies this inequality.

- A. \( x = 15.9 \) (False, since \( 15.9 \) is greater than \( 7.1 \))
- B. \( x = 14.1 \) (False, since \( 14.1 \) is greater than \( 7.1 \))
- C. \( x = 7.1 \) (False, since \( 7.1 \) is not less than \( 7.1 \))
- D. \( x = 0.1 \) (True, since \( 0.1 \) is less than \( 7.1 \))

The only value of \( x \) that satisfies the inequality is:

**D. \( x = 0.1 \)**