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Lesson: Solving Linear Inequalities

Video

04:48

Sample Question Videos

Worksheet • 13 Questions • 1 Video

Q1:

If ๐‘ฅ โˆ’ 8 > โˆ’ 3 , then ๐‘ฅ > .

Q2:

Which one of the following numbers satisfies the inequality ๐‘ฅ > โˆ’ 6 ?

  • A โˆ’ 5
  • B โˆ’ 1 1
  • C โˆ’ 9
  • D โˆ’ 1 0

Q3:

Which of the following does not satisfy the inequality ๐‘ฅ โ‰ค โˆ’ 1 ?

  • A2
  • B โˆ’ 4
  • C โˆ’ 1
  • D โˆ’ 3

Q4:

Which of the following inequalities is equivalent to 5 ๐‘ฅ < โˆ’ 4 ?

  • A ๐‘ฅ < โˆ’ 4 5
  • B ๐‘ฅ โ‰ค โˆ’ 4 5
  • C ๐‘ฅ < โˆ’ 2 0
  • D ๐‘ฅ > โˆ’ 4 5
  • E ๐‘ฅ = โˆ’ 4 5

Q5:

Which of the following inequalities is equivalent to 4 ๐‘ฅ โ‰ฅ 5 ?

  • A ๐‘ฅ โ‰ฅ 5 4
  • B ๐‘ฅ โ‰ฅ 2 0
  • C ๐‘ฅ < 5 4
  • D ๐‘ฅ โ‰ค 5 4

Q6:

Solve the following inequality: โˆ’ 1 0 ๐‘ฅ โ‰ฅ 6 0 .

  • A ๐‘ฅ โ‰ค โˆ’ 6
  • B ๐‘ฅ โ‰ฅ โˆ’ 6
  • C ๐‘ฅ โ‰ฅ 6
  • D ๐‘ฅ โ‰ค 6

Q7:

Which of the following inequalities has a solution of ๐‘ > 3 0 ?

  • A ๐‘ + 1 7 > 4 7
  • B ๐‘ โˆ’ 8 > 3 8
  • C ๐‘ โˆ’ 1 7 > 4 7
  • D ๐‘ + 4 7 > โˆ’ 1 7
  • E ๐‘ + 4 7 > 1 7

Q8:

Which of the following inequalities has a solution that involves reversing its sign?

  • A โˆ’ 1 2 ๐‘ฅ > 3 4
  • B 9 ๐‘ฅ > โˆ’ 3 5
  • C 1 4 ๐‘ฅ > 1 6
  • D 1 3 ๐‘ฅ > 2 5
  • E 1 1 ๐‘ฅ > 1 9

Q9:

Which one of the following numbers satisfies the inequality ๐‘ฅ โˆ’ 5 > 1 ?

  • A 7
  • B 2
  • C 4
  • D 3

Q10:

Which one of the following numbers satisfies the inequality ๐‘ฅ > โˆ’ 1 ?

  • A 0
  • B โˆ’ 5
  • C โˆ’ 4
  • D โˆ’ 3

Q11:

Which of the following inequalities has a solution that involves reversing its sign?

  • A โˆ’ 1 2 ๐‘ฅ โ‰ค โˆ’ 1 5
  • B 5 ๐‘ฅ โ‰ค โˆ’ 3 3
  • C 4 ๐‘ฅ โ‰ค 2 9
  • D 1 1 ๐‘ฅ โ‰ค 3 2
  • E 1 0 ๐‘ฅ โ‰ค 2 8

Q12:

Which of the following does not satisfy the inequality ๐‘ฅ โ‰ค โˆ’ 8 ?

  • A โˆ’ 6
  • B โˆ’ 1 1
  • C โˆ’ 8
  • D โˆ’ 1 0

Q13:

Which of the following inequalities is equivalent to โˆ’ 3 ๐‘ฅ < 4 ?

  • A ๐‘ฅ > โˆ’ 4 3
  • B ๐‘ฅ โ‰ฅ โˆ’ 4 3
  • C ๐‘ฅ > โˆ’ 1 2
  • D ๐‘ฅ < โˆ’ 4 3
  • E ๐‘ฅ = โˆ’ 4 3
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