Worksheet: One-Step First-Degree Inequalities

In this worksheet, we will practice solving first-degree inequalities with one step.

Q1:

Write the solution set of 𝑥 2 < 1 given that 𝑥 .

  • A { 1 , 2 , 3 }
  • B { 1 , 0 , 1 , 2 }
  • C { 0 , 1 , 2 , 3 }
  • D { 0 , 1 , 2 }

Q2:

Write the solution set of 𝑥 7 2 given that 𝑥 .

  • A { 1 , 2 , 3 , 4 , 5 }
  • B { 1 , 0 , 1 , 2 , 3 , 4 }
  • C { 6 , 7 , 8 , }
  • D { 5 , 6 , 7 , }

Q3:

Determine the solution set of the inequality in .

  • A
  • B
  • C
  • D

Q4:

Find the solution set of 𝑥 + 2 < 6 given that 𝑥 .

  • A { 1 , 2 , 3 , 4 }
  • B { 1 , 0 , 1 , 2 , 3 }
  • C { 0 , 1 , 2 , 3 , 4 }
  • D { 1 , 2 , 3 }

Q5:

Write an inequality to describe the following problem, and then solve it: The result of subtracting 4 from a number is less than 21.

  • A 𝑥 ( 2 1 ) < 4 , 𝑥 < 1 7
  • B 𝑥 + ( 4 ) < 2 1 , 𝑥 < 2 5
  • C 𝑥 + ( 4 ) > 2 1 , 𝑥 > 2 5
  • D 𝑥 ( 4 ) < 2 1 , 𝑥 < 1 7
  • E 𝑥 ( 4 ) > 2 1 , 𝑥 > 1 7

Q6:

What is the solution set of in ?

  • A
  • B
  • C
  • D

Q7:

Find the solution set of 𝑥 + 5 < 6 , given that 𝑥 .

  • A { 1 1 }
  • B { 1 0 , 9 }
  • C { 1 1 , 1 2 , 1 3 , }
  • D
  • E { 1 1 }

Q8:

Find the solution set of 𝑥 8 5 given that 𝑥 .

  • A { 1 , 2 , 3 }
  • B { 1 , 0 , 1 , 2 }
  • C { 1 , 0 , 1 , 3 }
  • D { 0 , 1 , 2 , 3 }

Q9:

Find the solution set of the inequality 𝑥 4 3 > 1 1 , where 𝑥 .

  • A { 3 1 , 3 0 , 2 9 , 2 8 , }
  • B { 5 4 , 5 5 , 5 6 , 5 7 , }
  • C { 3 2 , 3 1 , 3 0 , 2 9 , }
  • D { 5 5 , 5 6 , 5 7 , 5 8 , }
  • E { 3 3 , 3 4 , 3 5 , 3 6 , }

Q10:

Find the solution set of 𝑥 + 1 9 > 1 3 given that 𝑥 .

  • A { 7 , 8 , }
  • B { 0 , 1 , , 3 1 }
  • C { 3 2 , 3 3 , }
  • D

Q11:

Given that 𝑥 , solve the inequality 𝑥 + 7 < 7 .

  • A { 𝑥 𝑥 , 𝑥 > 1 4 }
  • B { 𝑥 𝑥 , 𝑥 1 4 }
  • C { 𝑥 𝑥 , 𝑥 1 4 }
  • D { 𝑥 𝑥 , 𝑥 < 1 4 }
  • E { 𝑥 𝑥 , 𝑥 < 0 }

Q12:

Find the solution set of 𝑥 9 < 7 , knowing that 𝑥 .

  • A { 1 , 2 }
  • B { 1 , 0 , 1 }
  • C { 2 , 1 , 0 , }
  • D { 1 , 0 , 1 , }

Q13:

Find the solution set of the inequality 𝑥 6 < 1 6 , where 𝑥 .

  • A { 6 }
  • B { 1 }
  • C { 2 }
  • D { 0 }

Q14:

Write and solve an inequality to determine the side length of a regular hexagon with a perimeter of at least 12 feet.

  • A 6 𝑥 1 2 , 𝑥 2
  • B 1 2 𝑥 6 , 𝑥 1 2
  • C 1 2 𝑥 6 , 𝑥 1 2
  • D 6 𝑥 1 2 , 𝑥 2
  • E 1 2 𝑥 5 , 𝑥 5 1 2

Q15:

Write and solve an inequality for the following problem: 16 more than a number is not more than 29.

  • A 𝑥 1 6 2 9 , 𝑥 4 5
  • B 𝑥 + 1 6 2 9 , 𝑥 1 3
  • C 𝑥 1 6 2 9 , 𝑥 4 5
  • D 𝑥 + 1 6 2 9 , 𝑥 1 3
  • E 𝑥 + 2 9 1 6 , 𝑥 1 3

Q16:

Find the solution set of 𝑥 < 2 7 given that 𝑥 .

  • A { 2 8 , 2 9 , }
  • B
  • C { 0 , 1 , , 2 7 }
  • D { 0 , 1 , , 2 6 }

Q17:

Write the solution set of 𝑥 3 < 2 given that 𝑥 .

  • A { 1 , 2 , 3 , 4 , 5 }
  • B { 1 , 0 , 1 , 2 , 3 , 4 }
  • C { 0 , 1 , 2 , 3 , 4 , 5 }
  • D { 0 , 1 , 2 , 3 , 4 }

Q18:

Find the solution set of the inequality 𝑥 8 > 4 3 , where 𝑥 .

  • A { 3 6 , 3 7 , 3 8 , 3 9 , }
  • B { 5 1 , 5 2 , 5 3 , 5 4 , }
  • C { 3 5 , 3 6 , 3 7 , 3 8 , }
  • D { 5 2 , 5 3 , 5 4 , 5 5 , }
  • E { 3 4 , 3 3 , 3 2 , 3 1 , }

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