# Grade 8 One Variable Linear Equations and In-Equations Worksheet (For CBSE, ICSE, IAS, NET, NRA 2022)

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## (8) Write in the Solution Set for Each of the Given In-Equation. Then Represent Each Solution Set on the Number Line. Note: Solution Set is the Set of Values That Satisfies an In-Equation

(a) Find the Values of x that are natural number and satisfy the in-equation

## (9) Write in the Solution Set for Each of the Given In-Equation. Then Represent Each Solution Set on the Number Line. Note: Solution Set is the Set of Values That Satisfies an In-Equation

(a) Find the values of x that are integer and satisfy the in-equation,

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## (12) Solve the In-Equation. Than Represent the Solution Set on the Number Line

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• Twenty times a number added by 120 equals 400.
• To find out its equation will go step by step

(i) Twenty times a number (Suppose Number is āaā )

(iii) Equals 400

• So, missing equation,

• To find out its equation will go step by step.

(i)

(ii)

(iii)

• So, missing Statement is:

• Given equation,

• Now taking the unknown left side and number to right side,

• Representation of number on line is as below,

• Given equation

• Now taking the unknown left side and number to right side,

• Given equation,

• Now taking the unknown left side and number to right side,

• Given equation,

• Now take LCF on left hand side and right hand side separately.

• Now take LCF on left hand side and right hand side separately.

• Now taking the unknown left side and number to right side,

• Suppose total number of student in the ABC city
• Six more than one fourth of the total numbers of student select the science.
• So,

• Two more than one half of the total student select commerce.

• Remaining 100 student select Arts Stream
• Now,

• Therefore, total number of student in the ABC city is

• Natural number are the positive integer or nonnegative integer which starts from 1 and ends at infinity such as

• So, from above the values of x are such that,

• Means values of x are less than four that means
• So, Solution Set is
• Representation on number line is as below

• Integer: An integer ia s whole number that can be positive, negative or zero.
• For example;

• But rational number and decimal number like is not an integer.
• The values of x that satisfy In-equation are,

• Representation on number line is as below,

• Here first solution set of x is only belongs to N means,
• āNā -means natural number; means numbers are the positive integer or nonnegative integer and start from 1 and end at infinity.
• Solving the given equation,

• So, solution set of value of x is
• Representation of Solution set of value x on number line is as below.

• Given equation,

• Given equation,

• Now, , Z means integer , that means the whole positive number , whole negative number, and Zero.
• So, Solution Set of value x is;

• Representation of Solution set of value x on number line is as below.

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