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Question
Which of the following shows the graph of the solution to x−0.3<3.2
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1 answer

To solve the inequality \( x - 0.3 < 3.2 \), follow these steps:

  1. Isolate \( x \): Add \( 0.3 \) to both sides of the inequality. \[ x < 3.2 + 0.3 \] \[ x < 3.5 \]

This means that the solution set is all values of \( x \) that are less than \( 3.5 \).

  1. Graph the solution: On a number line, you would:
  • Draw an open circle at \( 3.5 \) (indicating that \( 3.5 \) is not included in the solution).
  • Shade the line to the left of \( 3.5 \) to indicate all values less than \( 3.5 \).

If you have options for graphs, look for one that shows an open circle at \( 3.5 \) with a shaded line extending to the left.

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