Lesson Worksheet: Radical Inequalities Mathematics

In this worksheet, we will practice solving radical inequalities algebraically and graphically.

Q1:

Find algebraically the solution set of the inequality 𝑥+16𝑥+64<19.

  • A(27,11)
  • B(,11)
  • C(11,27)
  • D[27,11]

Q2:

Find algebraically the solution set of the inequality 𝑥+8𝑥+163.

  • A[1,)
  • B[7,1]
  • C(7,1)
  • D(1,7)

Q3:

If 𝑥 is a nonnegative integer, under what condition is the expression 𝑥<64 true?

  • A𝑥<128
  • B𝑥>64
  • C𝑥>128
  • D𝑥<64
  • E𝑥>16

Q4:

Find graphically the solution set of the inequality 𝑥1+34.

  • A1<𝑥<2
  • B𝑥<2
  • C1𝑥2
  • D𝑥2
  • E1𝑥2

Q5:

Find graphically the solution set of the inequality 𝑥+12𝑥.

  • A𝑥<13
  • B1𝑥13
  • C𝑥>13
  • D0𝑥13
  • E𝑥13

Q6:

Find algebraically the solution set of the inequality 2𝑥6<4𝑥5.

  • A,12
  • B(3,)
  • C[3,)
  • D12,
  • E[3,)

Q7:

Find algebraically the solution set of the inequality 2𝑥+1<18.

  • A[1,)
  • B(1,)
  • C[1,)
  • D(80,)
  • E(,80)

Q8:

Find algebraically the solution set of the inequality 𝑥1<1.

  • A(2,)
  • B(1,)
  • C(0,)
  • D(,0)
  • E(,2)

Q9:

Find graphically the solution set of the inequality 2𝑥+44.

  • A[2,6]
  • B[2,)
  • C[6,)
  • D(2,6)
  • E(,6]

Q10:

Find graphically the solution set of the inequality 𝑥9<1.

  • A(,10]
  • B(10,)
  • C[9,)
  • D[10,)
  • E(,10)

This lesson includes 90 additional question variations for subscribers.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.