Inequalities Pt. III: Compound Inequalities {Day 1}

Question of the day:

What was your favorite thing from this trimester?

What inequality is graphed?

• x > 2 and x < 4

• 2 ≤ x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

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)

What inequality is graphed? 

• x > 2 and x ≤ -3
• x > 2 and x < -3
• x > 2 or x ≤ -3
• x > 2 or x < -3

Could x = - 5 be a solution to the inequality -6 < 3x + 9 < 21? 

• yes
• no 

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.

Solutions to compound inequalities with an "and" statement must be a solution to....

• both inequality statements
• neither inequality statements
• only one inequality statement
• None of the above are true

Solutions to compound inequalities with an "or" statement must be a solution to....

• both inequality statements
• neither inequality statements
• only one inequality statement
• None of the above are true

Could x = 3 be solution to the inequality 
6 < x + 5 ≤ 11? 

• Yes 
• No 

0 < x + 7 < 9

• -7<x   and   x<2
• -7<x   or   x<2
• -7>x   and   x>2
• -7>x  or   x>2