to indicate the solution. for x > -1 and x < 4 where would you place circles on the graph enter the lesser value first

1 answer

To indicate the solution for the inequality \( -1 < x < 4 \) on a graph, you would place an open circle at \( x = -1 \) and an open circle at \( x = 4 \).

Here's how it works:

  1. Open circles: Since the inequalities do not include \( -1 \) and \( 4 \) (indicated by the "<" signs), you use open circles at these points to show that they are not part of the solution set.
  2. Solution Range: Draw a line or shaded region between the two circles, indicating all the values of \( x \) that are greater than \( -1 \) and less than \( 4\).

So, you would place an open circle at \( -1 \) first and then at \( 4 \).