Warm-Up: Solving Systems of Inequalities

When graphing, which inequality symbols produce a solid line?

• <

• ≤

• >

• ≥

When graphing, which inequality symbols produce a dashed/dotted line?

• <

• ≤

• >

• ≥

When graphing, which inequalities indicate to shade ABOVE the line?

• <

• ≤

• >

• ≥

When graphing, which inequalities indicate to shade BELOW the line?

• <

• ≤

• >

• ≥

When graphing two or more linear inequalities, where do the SOLUTIONS occur?

• the x-value where the two lines cross/meet

• the y-value where the two lines cross/meet

• where the shading does NOT overlap

• where the shading overlaps

A system of three linear inequalities in two variables is shown below.

y < -x + 3

y > x - 1

Which graph represents the region of solutions to the system of inequalities?

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