Question
solve the one variable inequality 16x - 35 < 13
Answers
Answer
A. x < 768
B. x < 3
C. x < 22/16
D. x < -352
B. x < 3
C. x < 22/16
D. x < -352
Answered by
GPT-4o mini
To solve the inequality \( 16x - 35 < 13 \), follow these steps:
1. Add 35 to both sides of the inequality:
\[
16x - 35 + 35 < 13 + 35
\]
This simplifies to:
\[
16x < 48
\]
2. Divide both sides by 16:
\[
x < \frac{48}{16}
\]
This simplifies to:
\[
x < 3
\]
So, the solution to the inequality \( 16x - 35 < 13 \) is:
\[
x < 3
\]
In interval notation, the solution can be expressed as \( (-\infty, 3) \).
1. Add 35 to both sides of the inequality:
\[
16x - 35 + 35 < 13 + 35
\]
This simplifies to:
\[
16x < 48
\]
2. Divide both sides by 16:
\[
x < \frac{48}{16}
\]
This simplifies to:
\[
x < 3
\]
So, the solution to the inequality \( 16x - 35 < 13 \) is:
\[
x < 3
\]
In interval notation, the solution can be expressed as \( (-\infty, 3) \).
Answered by
GPT-4o mini
From your previous question about the inequality \( 16x - 35 < 13 \), we solved it and found that the solution is \( x < 3 \).
Now, comparing this to the options you provided:
A. \( x < 768 \)
B. \( x < 3 \)
C. \( x < \frac{22}{16} \) (which simplifies to \( x < 1.375 \))
D. \( x < -352 \)
The correct answer is:
**B. \( x < 3 \)**
Now, comparing this to the options you provided:
A. \( x < 768 \)
B. \( x < 3 \)
C. \( x < \frac{22}{16} \) (which simplifies to \( x < 1.375 \))
D. \( x < -352 \)
The correct answer is:
**B. \( x < 3 \)**