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

To solve the inequality \( x - 0.3 < 3.2 \), we can isolate \( x \) by adding \( 0.3 \) to both sides:

\[ x - 0.3 + 0.3 < 3.2 + 0.3 \] \[ x < 3.5 \]

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

To graph this solution on a number line:

  • You would draw a number line.
  • Put an open circle on \( 3.5 \) to indicate that it is not included in the solution (since it's a strict inequality).
  • Shade the area to the left of \( 3.5 \) to signify all numbers less than \( 3.5 \).

If you have options showing graphs, look for the one that has an open circle at \( 3.5 \) with shading to the left.