Question

Which of the following values of x is true for the inequality below?
1.6 + x < 19

A.
x = 15.4
B.
x = 19.4
C.
x = 18.6
D.
x = 17.4

Answer 1

To solve the inequality \( 1.6 + x < 19 \), we need to isolate \( x \).

1. Subtract \( 1.6 \) from both sides:

\[
x < 19 - 1.6
\]

2. Calculate \( 19 - 1.6 \):

\[
19 - 1.6 = 17.4
\]

So the inequality simplifies to:

\[
x < 17.4
\]

Now, we check the options to see which value is less than 17.4:

A. \( x = 15.4 \) (Valid, since \( 15.4 < 17.4 \))
B. \( x = 19.4 \) (Invalid, since \( 19.4 > 17.4 \))
C. \( x = 18.6 \) (Invalid, since \( 18.6 > 17.4 \))
D. \( x = 17.4 \) (Invalid, since \( 17.4 \) is not less than \( 17.4 \))

The only value that satisfies the inequality \( x < 17.4 \) is:

**A. x = 15.4**