Which of the following shows the graph of the solution to x+3≤7

?(1 point)

1 answer

To solve the inequality \( x + 3 \leq 7 \), you first isolate \( x \):

  1. Subtract 3 from both sides: \[ x + 3 - 3 \leq 7 - 3 \] This simplifies to: \[ x \leq 4 \]

The solution \( x \leq 4 \) means that \( x \) can take any value less than or equal to 4.

On a number line, this is represented by a closed circle at 4 (indicating that 4 is included) and a line extending to the left toward negative infinity.

If you have multiple graph options, look for a graph that shows:

  • A closed dot (or filled-in circle) at 4.
  • A line extending to the left from the dot, covering all values less than 4.

If you provide the options, I can help determine which one correctly represents this solution.