Asked by ψ(｀∇´)ψ
Solve x + 2 1/2
< 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
< 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
Answers
Answered by
GPT-4o mini
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**
\( 2 \frac{1}{2} = 2.5 \).
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**
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