Solving Inequalities Algebra

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 

• <, >

Tags

CCSS.6.EE.B.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.

3x-4< -13 or 7x+1> 22

• All Real numbers

•   x>3   and x>-9

• The answer is not listed

• x<-3   or x>3

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

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

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

• yes

• no 

Tags

CCSS.6.EE.B.5

At the local 5k race, runners 10 and under or runners 65 and above start the race after the others. What compound inequality represents the situation?

• 10 ≤ x ≤ 65

• x ≥ 10 or x ≤ 65

• x ≤ 10 or x ≥ 65

• 10 < x < 65

• no solution
• a> -1/6 or a< -5/6
• a>1/2 or a< -3/2
• all real numbers

-3 + x ≤ -11

• x ≤ -8

• x ≤ 8

• x ≥ -8

• x ≥ 8

Tags

CCSS.7.EE.B.4B