Question

Solve the one-variable inequality 16x−35≤13
.(1 point)
Responses

x≤3
x less-than-or-equal-to 3

x≤−352
x less-than-or-equal-to negative 352

x≤−22/16
x less-than-or-equal-to negative Start Fraction 22 over 16 End Fraction

x≤768

Answer 1

To solve the inequality \(16x - 35 \leq 13\), follow these steps:

1. Add 35 to both sides:
\[
16x - 35 + 35 \leq 13 + 35
\]
\[
16x \leq 48
\]

2. Divide both sides by 16:
\[
x \leq \frac{48}{16}
\]
\[
x \leq 3
\]

So the solution to the inequality is:
\[
x \leq 3
\]

Thus, the correct response is:
**x≤3**