Solving absolute inequalities 10_27

| x + 3 | ≤ 2

• No Solution

• x ≤ -1

• -5 ≤ x and x ≤ -1

• 1 ≤ x and x ≤ 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

| x + 3 | > 8

• No Solution
• All Real Numbers
• x < -11  or  x > 5
• -5 < x < 11

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Ms. Steadman wanted to buy a Panthers jersey. It cost $72.  She said she would save $9 each week. How many weeks will it take for her to save up enough money to buy the jersey?

• 9
• 72
• 8
• 7

Tags

CCSS.6.EE.B.7

The radius of the gears produced at a factory must be 6 inches in length with a tolerance of 0.1 inches. The gears with radius beyond the tolerated lengths will be thrown away. Which of the following inequalities can be used to assess which gears are eligible? (x is the length of the radius)

• |x – 6| ≤ 0.1
• |x – 6| ≥ 0.1
• |x – 0.1| ≤ 6
• |x – 0.1| ≥ 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

| 12 + w | ≥ -5

• No Solution
• All Real Numbers
• w ≤ -17  or  w ≥ -7
• -17 ≤ w ≤ -7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

The radius of the gears produced at a factory must be 6 inches in length with a tolerance of 0.1 inches. The gears with radius beyond the tolerated lengths will be thrown away. Which of the following inequalities can be used to assess which gears are eligible? (x is the length of the radius)

• |x – 6| ≤ 0.1
• |x – 6| ≥ 0.1
• |x – 0.1| ≤ 6
• |x – 0.1| ≥ 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

A type of mobile phone produced by NOKIA must be less than 8 ounces in weight with a tolerance of 0.3 ounces. The mobiles that are not within the tolerated weight must be recycled. Which of the following inequalities can be used to assess which mobiles are tolerable? (W is the weight of the mobiles) .

• |w - .3| <= 8
• |w - .3| >= 8
• |w - 8| <= .3
• |w - 8| >= .3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

The maximum limit of a part is 4.01 mm and the minimum limit is 3.98 mm.  What is the tolerance?

• 0.01 mm
• .015 mm
• .03 mm
• .
  .035 mm

Solve for n.

• n ≥ 10 and n ≤ -6
• n > 10 and n < -6
• n ≥ 10 or n ≤ -6
• n > 10 or n < -6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3