Inequalities Possible Solutions

What inequality is shown?
Pay close attention to the signs!

• x ≥ 0 OR x < 5

• 0 ≤ x ≤ 5

• 0 ≤ x < 5

• 0 ≥ x > 5

What inequality is shown?

• x ≥ -5 OR x < 4

• x ≤ -5 OR x > 4

• -5 ≤ x < 4

• -5 ≥ x > 4

What inequality is graphed?

• x > 2 and x < 4

• x ≥ 2 and x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

What inequality is graphed? 

• x > 2 and x ≤ -3

• x > 2 and x < -3

• x > 2 or x ≤ -3

• x > 2 or x < -3

Write an inequality for Graph 2.

• -2 ≤ x < 5

• x ≤ -2 AND x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x ≤ 5

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

When graphing the solutions to "OR" inequalities, The shading looks like___

• Shading that connects the 2 dots

• Shading that points away and never crosses.

• Shading that points toward each other and ALWAYS crosses

• Shading that points opposite, but sometimes crosses.

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.

When solving inequalities you must _________________ the inequality when ____________________ by a negative.

• flip; dividing

• ignore; multiplying and dividing

• flip; multiplying

• flip; multiplying and dividing