Worksheet on Linear Inequations

Worksheet on linear inequations will help the student to practice different questions on inequalities. To practice this sheet student can recall this topic to solve linear inequation, find the solution and represent the solution set of an inequation on the real line.


1. Write the word statement for each of the following inequations:

  (a) x > -5 

  (b) x > 7 

  (c) x < -2 

  (d) x < 3 

  (e) x ≥ 6 

  (f) x ≥ -8

  (g) x ≤ 9 

  (h) x ≤ -11 

2. Write the resulting equation in each of the following cases when each side of the equation:

  (a) x > -2 is increased by 4

  (b) x < 5 is increased by 2

  (c) -x > 7 is increased by 3

  (d) -x < -4 is increased by 5

  (e) x ≤ -4 is decreased by 1

  (f) x - 7 ≥ -5 is increased by 3

  (g) -x/5 > -3 is multiplied by -3

  (h) -x > 27 is divided by 9

  (i) 4x ≤ -12 is divided by -4

  (j) x < -9 is divided by 3

  (k) -x ≤ 4 is multiplied by -6



3. Draw the separate number line for the ‘following inequations’.

  (a) x < 3, x ∈ N

  (b) 3 ≤ x < 6, x ∈ N

  (c) 0 < x < 7, x ∈ W

  (d) x ≥ 12, x ∈ W

  (e) -5 < x, ≤ 5, x ∈ I

  (f) x < -9, x ∈ I



4. Draw a separate number line for the inequation -5 < x ≤ 4 when

      (a) x ∈ N         (b) x ∈ W         (c) x ∈ I 

Write the replacement set and solution set in each case.


5. Solve the following inequations and represent them graphically

  (a) x - 6 < 4, x ∈ W

  (b) x + 4 ≤ 8, x ∈ N

  (c) 9x - 6 ≥ 12, x ∈ N

  (d) -5 < x < 5, x ∈ I

  (e) 6x + 2 ≤ 20, x ∈ W

  (f) 7x + 2 < -12, x ∈ I

  (g) x - 10 > -1, x ∈ I

  (h) -2 ≤ x ≤ 2, x ∈ I

  (i) 3x + 6 > 12, x ∈ W

  (j) 7x + 3 < 5x + 9, x ∈ W

  (k) (3x - 4)/2 ≥ (x + 1)/4 - 1, x ∈ N

  (l) x/3 > x/2 + 1, x ∈ W

  (m) 2(2x + 3) - 10 < 6x(x - 2), x ∈ I

  (n) 3x - 7 > 5x - 1, x ∈ I


Try to answer the questions of the worksheet on linear inequations and represent the solution set of an inequation on the number line.




 Inequations

What are Linear Inequality?

What are Linear Inequations?

Properties of Inequation or Inequalities

Representation of the Solution Set of an Inequation

Practice Test on Linear Inequation


 Inequations - Worksheets

Worksheet on Linear Inequations













7th Grade Math Problems

8th Grade Math Practice 

From Worksheet on Linear Inequations to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. How to Do Long Division? | Method | Steps | Examples | Worksheets |Ans

    Apr 20, 25 11:46 AM

    Long Division and Short Division Forms
    As we know that the division is to distribute a given value or quantity into groups having equal values. In long division, values at the individual place (Thousands, Hundreds, Tens, Ones) are dividend…

    Read More

  2. Word Problems on Division | Examples on Word Problems on Division

    Apr 20, 25 11:17 AM

    Word Problem on Division
    Word problems on division for fourth grade students are solved here step by step. Consider the following examples on word problems involving division: 1. $5,876 are distributed equally among 26 men. H…

    Read More

  3. Subtraction of 4-Digit Numbers | Subtract Numbers with Four Digit

    Apr 20, 25 10:27 AM

    Properties of Subtraction of 4-Digit Numbers
    We will learn about the subtraction of 4-digit numbers (without borrowing and with borrowing). We know when one number is subtracted from another number the result obtained is called the difference.

    Read More

  4. Subtraction without Regrouping |4-Digit, 5-Digit & 6-Digit Subtraction

    Apr 20, 25 10:25 AM

    Subtraction without Regrouping
    We will learn subtracting 4-digit, 5-digit and 6-digit numbers without regrouping. We first arrange the numbers one below the other in place value columns and then subtract the digits under each colum…

    Read More

  5. Worksheets on Missing Numbers from 1 to 20 | Counting Missing Numbers

    Apr 20, 25 10:17 AM

    Printable worksheets on missing numbers
    Printable worksheets on missing numbers from 1 to 20 help the kids to practice counting of the numbers.

    Read More