
How does a linear inequality different from a linear equation?
Answer
456.9k+ views
2 likes
Hint: An inequality is a mathematical statement that shows that an expression is lesser than or more than the other. The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
Complete step by step solution:
The only difference between the two equations is that a linear equation gives a line graph whereas a linear inequality shows the area of the coordinate plane that satisfies the inequality. A linear inequality graph usually uses a borderline to divide the coordinate plane into two regions. The graph of linear inequalities includes a dashed line if they are greater than or less than but not equal to.
A linear equation will have one solution where as a linear inequality can have numerous.
For example:
Hence, we get only one solution
But,
Hence, every number larger than one is a correct solution.
Additional information:
Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, , .These values could be numerical or algebraic or a combination of both. The linear inequality graph divides the coordinate plane into two parts by a borderline. This line is the line that belongs to the function.
Note: We must note that, the linear equation has only one variable usually and if any equation has two variables in it, then the equation is defined as a Linear equation in two variables. Linear equations, on the other hand, include a solid line in every situation. Moreover, linear inequalities include shaded regions whereas linear equations do not include shaded regions.
Complete step by step solution:
The only difference between the two equations is that a linear equation gives a line graph whereas a linear inequality shows the area of the coordinate plane that satisfies the inequality. A linear inequality graph usually uses a borderline to divide the coordinate plane into two regions. The graph of linear inequalities includes a dashed line if they are greater than or less than but not equal to.
A linear equation will have one solution where as a linear inequality can have numerous.
For example:
Hence, we get only one solution
But,
Hence, every number larger than one is a correct solution.
Additional information:
Linear inequalities are the expressions where any two values are compared by the inequality symbols such as,
Note: We must note that, the linear equation has only one variable usually and if any equation has two variables in it, then the equation is defined as a Linear equation in two variables. Linear equations, on the other hand, include a solid line in every situation. Moreover, linear inequalities include shaded regions whereas linear equations do not include shaded regions.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Master Class 11 Maths: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Trending doubts
Difference Between Prokaryotic Cells and Eukaryotic Cells

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

1 Quintal is equal to a 110 kg b 10 kg c 100kg d 1000 class 11 physics CBSE

Net gain of ATP in glycolysis a 6 b 2 c 4 d 8 class 11 biology CBSE

Give two reasons to justify a Water at room temperature class 11 chemistry CBSE
