LINEAR EQUATION AND LINEAR INEQUALITY

Which mathematical statements are linear equation or linear inequality?

Linear Equation;

• x + y = 7

• 4x + 2y < = 12

Linear Inequalities;

• 2x + y > 6

• x + 2y < 4

• 5x + y < = 5

° But the Number 4 and Number 5 they both have a similar symbol like " >, = " and " <, = ". It's difficult. But for me that's the Answer:) I hope I helped you!

Explanation:

Because the Linear Equation is a Mathematical sentence indicating that two mathematical expressions are equal. The Symbol was " = " used to denote equality.

And the Linear Inequality is a Mathematical sentence indicating that the two expressions are not equal. The Relation Symbols are <, ≤, >, ≥ and ≠ are used to denote inequality.

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Answer:

1. The solution of a linear inequality in two variables like Ax + By > C is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality. If a, b, and r are real numbers (and if a and b are not both equal to 0) then ax+by = r is called a linear equation in two variables. (The “two variables” are the x and the y.)

2. Linear Inequalities in two variables has less than or greater than or greater than or equal to or less than or equal to and has 2 variables. Linear Inequality in two variables has an equal sign and 2 variables.

3. y < 7x + 21 is an linear inequality in two variables while y = 7x +21 is an linear equation in two variables. 3y - 7 < 5x is an linear inequality in two variables while 3y - 7 = 5x is an linear equation in two variables.

4. Linear Inequalities in two variables used an < or > or ≤ or ≥ that Linear Equation in two variables do not, instead it used an equal sign/=.

Step-by-step explanation:

Example of Linear Inequalities in two variables:

2x + y > 10

5 < 7x + 3y

7y ≤ 15x - 4

35x - 15y ≥ 15

Example of Linear Equations in two variables:

9x + 7y = 15

30 = 2x - 4y

5x + y = 20

4y = 6x - 9

What is Variable?

-Variable is a letter that represents a number/missing number.

Step-by-step explanation:

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