Solving Inequalities with Variables

the intersection of the graphs in a system of constraints

• feasible region

• bounded region

• unbounded region

Tags

CCSS.HSA.REI.D.12

Solve:
7(x + 3) < 5x + 13

• x>-4

• x < 17

• x<-4

• x > -17

Solve:
14x + 12 < 9x -3

• x < -3

• x < 5

• x < -5

• x > 3

8g − 5g − 4 ≤ -3 + 3g

• g ≤ 0

• g ≤ 1

• All Real Numbers

• No Solution

Solve:
4(2a + 3) < 3(a - 1)

• a<-3

• a>-3

• a<3

• a>3

Solve:
3(x - 2) < 2(x + 9)

• x<24

• x>12

• x<12

• x>24

Solve:
6x + 3 > 4x - 7

• x>5

• x>-5

• x<-5

• x>-2

Which of the following inequalities would require you to flip the sign when solving?

• 2x < 3

• 3x > - 9

• -4x ≥ 10

• 5x ≤ 15

Tags

CCSS.6.EE.B.8

What is the range of values for x?

• x>9

• x>-3

• x<-3

• x<9

8x+9<6x-7

What is the range of values for x?

• x>1

• x<1

• x>-8

• x<-8