Solve x + 2 1/2

Question

< 8.(1 point)
Responses

x < 10 1/2
x < 10 and 1 half

x < 6 1/2
x < 6 and 1 half

x < 5 1/2
x < 5 and 1 half

x < 4 1/2

Answer 1

To solve the inequality \( x + 2 \frac{1}{2} < 8 \), first convert \( 2 \frac{1}{2} \) to an improper fraction or a decimal.

\( 2 \frac{1}{2} = 2.5 \).

Now, rewrite the inequality:

\[ x + 2.5 < 8 \]

Next, subtract \( 2.5 \) from both sides:

\[ x < 8 - 2.5 \]

Calculating the right side:

\[ 8 - 2.5 = 5.5 \]

Thus, the solution is:

\[ x < 5.5 \]

In fractional form, this can also be expressed as:

\[ x < 5 \frac{1}{2} \]

Based on the responses provided, the correct response is:

x < 5 1/2