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3. if a system of linear equations has one solution, what does this mea…

Question

  1. if a system of linear equations has one solution, what does this mean about the two lines?

□ a) parallel lines
□ b) the same line
□ c) intersecting lines

  1. an inequality using a > or a < has a ______ line

□ a) invisible
□ b) solid
□ c) dashed

Explanation:

Brief Explanations

For question 3, parallel lines have no solutions as they never meet, and the same line has infinitely - many solutions. Intersecting lines meet at a single point, so a system of linear equations with one solution represents intersecting lines.
For question 4, in graphing inequalities, when the inequality is strict (using > or <), the boundary line is dashed because the points on the line are not part of the solution set.

Answer:

  1. c) Intersecting lines
  2. c) dashed