Solving Systems of Inequalities by Graphing

What defines a system of linear inequalities?

• A single inequality

• A set of non-linear equations

• A single linear equation

• A set of ordered pairs that satisfy all inequalities

What indicates a system of inequalities might have no solution?

• The inequalities overlap completely

• All inequalities are equal

• The inequalities do not overlap at all

• The inequalities overlap partially

How do you start plotting a linear inequality on a graph?

• By shading the entire graph

• By drawing a random point

• By marking the y-intercept

• By marking the x-intercept

What does a dashed line represent in graphing inequalities?

• It represents a horizontal line only

• The graph is incorrect

• Equality is not included in the inequality

• Equality is included in the inequality

Where do you shade when the inequality is 'less than'?

• Nowhere

• Above the line

• On the line only

• Below the line

What is the purpose of rewriting an inequality in slope-intercept form?

• To find the x-intercept

• To make it non-linear

• To simplify the equation

• To find the slope and y-intercept

How do you find the x-intercept of an inequality?

• Set y to zero and solve for x

• Add x to y

• Multiply x by y

• Set x to zero and solve for y

What does a solid line indicate when graphing an inequality?

• The inequality is strict

• The inequality includes equality

• The line is vertical

• The line is horizontal

In a system of inequalities, what does a vertical line represent?

• y is constant

• x is constant

• Both x and y are variable

• Neither x nor y are constant

What must you do when you divide by a negative number while solving inequalities?

• Change the direction of the inequality

• Add 1 to both sides

• Do nothing

• Subtract 1 from both sides