which whole number less than 9 are solutions of 3x-5less than or equal to 4?

1 answer

To solve the inequality \( 3x - 5 \leq 4 \), we can follow these steps:

  1. Add 5 to both sides: \[ 3x - 5 + 5 \leq 4 + 5 \] This simplifies to: \[ 3x \leq 9 \]

  2. Divide both sides by 3: \[ x \leq \frac{9}{3} \] This simplifies to: \[ x \leq 3 \]

Now, we want the whole numbers less than 9 that satisfy this inequality. The whole numbers less than or equal to 3 are:

  • 0
  • 1
  • 2
  • 3

Thus, the solutions are \( { 0, 1, 2, 3 } \).