Solve the one-variable inequality 16x−35≤13

Question

.(1 point)
Responses

x≤−2216
x less-than-or-equal-to negative Start Fraction 22 over 16 End Fraction

x≤768
x less-than-or-equal-to 768

x≤3
x less-than-or-equal-to 3

x≤−352

Answer 1

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

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

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

So, the solution to the inequality is \( x \leq 3 \).

The correct response is: x ≤ 3.