Solving/interpreting linear inequalities in one variable

 $\left|x+5\right|>-1$  

•  $All\ Real\ Numbers$  

•  $-4<x<6$  

• No Solution

•  $x<-4\ or\ x>6$  

Tags

CCSS.HSA.REI.B.3

Solve the absolute value inequality: |2x - 1| ≥ 5.

• x ≤ -2 or x ≥ 3

• x ≤ -3 or x ≥ 2

• x ≤ -1 or x ≥ 4

• x ≤ -2 or x ≥ 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the absolute value inequality: |2x - 3| < 5.

• x < 2/3 or x > 2/3

• x < 1/2 or x > 1/2

• x < 3/2 or x > 3/2

• x < -3/2 or x > 3/2

Tags

CCSS.HSA.REI.B.3

What is the first step?

• Get the absolute value alone by dividing both sides by 5
• Drop the absolute value bars and add 7 and 5 together
• Get the absolute value alone by subtracting 5 from both sides

Tags

CCSS.HSA.REI.B.3

The absolute value of an expression cannot be less than zero.

• always

• sometimes

• never

l -350 l

• -350

• 350

• -351

• 351

Tags

CCSS.6.NS.C.7

Fill in the blank. l-6l____6

• <

• >

• =

Tags

CCSS.6.NS.C.7

CCSS.6.NS.C.8

Problem #31

If a is a solution of ∣x + 3 ∣ ≥ 8, then a is also a solution of x + 3 ≥ −8. (a)  

• false
• true

Tags

CCSS.HSA.REI.B.3

• No solution

• x < 1 or r > 8

• 1 < x < 8

• All real numbers

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve:  |k| > -8

• x > 8 or x < -8

• -8 < k < 8

• No solution

• Infinite solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3