Question

solve the one variable inequality 16x - 35 < 13

Answers

Answer
A. x < 768
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 \( (-\infty, 3) \).
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. \( x < 3 \)**

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