Solving and Graphing Compound Inequalities

Write an inequality for Graph 2.

• -2 ≤ x < 5

• x ≤ -2 AND x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x ≤ 5

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

-8<2(x+4) or -3x+4>x-4

• No solutions

• x<-8 or x<2

•  x>-8 or x<2

• x<-8 and x<2

−6 < 2t − 5 < 3

• −0.5 < t < 1

• 0.5 < t < −1

• −11/2 < t < 2

• 11/2 < t < −2

When graphing "AND" inequalites, shading looks like___

• Shading that always connects the 2 dots.

• Shading that always points away from each dot

• 2 shaded arrows pointing in same direction(both left)

• 2 shaded arrows pointing in same direction (both right)

Why do I draw a closed circle when it's less than or equal to or greater than or equal to?

• Because we are INCLUDING that solution

• Because we are NOT INCLUDING that solution

Why do we graph inequalities?

• There is no good reason to graph inequalities.

• We need to practice our art skills.

• THE GRAPH SHOWS ALL THE SOLUTIONS TO THE INEQUALITY.

Your family needs 2 gallons of water this week, but you don’t want to buy any more than 8 gallons. Write an inequality representing the possible gallons of water you could buy this week.

• 2 ≤ x ≤ 8

• 2< x < 8

• 8 ≥ x ≥ 2

• 2> x > 8

Which compound inequality is graphed above?

Which compound inequality is graphed above?