Question

Which of the following values of x is true for the inequality below?
9.9 + x < 22

A.
x = 15.1
B.
x = 12.1
C.
x = 28.9
D.
x = 9.1

Answer 1

To solve the inequality \(9.9 + x < 22\), we first isolate \(x\):

1. Subtract \(9.9\) from both sides:
\[
x < 22 - 9.9
\]

2. Calculate the right side:
\[
22 - 9.9 = 12.1
\]
So, the inequality becomes:
\[
x < 12.1
\]

Now, let's evaluate the options given:

A. \(x = 15.1\) (False, since \(15.1\) is not less than \(12.1\))
B. \(x = 12.1\) (False, since \(12.1\) is not less than \(12.1\))
C. \(x = 28.9\) (False, since \(28.9\) is not less than \(12.1\))
D. \(x = 9.1\) (True, since \(9.1\) is less than \(12.1\))

The correct answer is **D. \(x = 9.1\)**.