In mathematics, Absolute value is a measure of how energies a number is from 0. For example: ‘15’ is 15 point far from zero and -58 is 58 point far from zero term. Absolute value of number 0 is 0 and absolute value of 150 is 150. The entire values are the examples of absolute value function. In the case of absolute value negative numbers are not taken. Let's we have given any negative number then it is very essential to avoid negative sign from number. So we can have only positive values and zero. Absolute value function is denoted by the symbol '|'. This symbol is also said to be bar. If we plot any negative number among this symbol then we found positive number outside this symbol. Now we will discuss process of calculating Absolute Value Inequalities.
If any of the given symbol (<,> <, >) are there in any expression then we can say that equation have inequality in it. Let's us discuss how to calculate absolute value inequalities. Let's we have | 2a + 3 | < 8, absolute value inequality.
Solution: Given inequality | 2a + 3 | < 8, then first we will calculate linear inequality. So it can be written as:
=> - 8 < 2a + 3 < 8, it means 2a + 3 is larger than -8 and shorter than 8. Then subtract 3 from inequality. On subtracting value 3 we get:
=> - 8 – 3 < 2a + 3 – 3 < 8 – 3, on moving ahead we get:
=> -11 < 2a < 5.
Then divide entire inequality by 2, on dividing we get:
=> - 11 / 2 < a < 5 / 2,
On solving | 2a + 3 | < 8, we get –11 / 2 < a < 5 / 2. In this way we can solve any inequalities values.
Quantum Field Theory can also gave a theoretical framework for plotting quantum mechanical models of systems. iit jee syllabus useful for those student who want to prepare for iit exam. In the next session we will discuss about How to solve linear inequalities.
If any of the given symbol (<,> <, >) are there in any expression then we can say that equation have inequality in it. Let's us discuss how to calculate absolute value inequalities. Let's we have | 2a + 3 | < 8, absolute value inequality.
Solution: Given inequality | 2a + 3 | < 8, then first we will calculate linear inequality. So it can be written as:
=> - 8 < 2a + 3 < 8, it means 2a + 3 is larger than -8 and shorter than 8. Then subtract 3 from inequality. On subtracting value 3 we get:
=> - 8 – 3 < 2a + 3 – 3 < 8 – 3, on moving ahead we get:
=> -11 < 2a < 5.
Then divide entire inequality by 2, on dividing we get:
=> - 11 / 2 < a < 5 / 2,
On solving | 2a + 3 | < 8, we get –11 / 2 < a < 5 / 2. In this way we can solve any inequalities values.
Quantum Field Theory can also gave a theoretical framework for plotting quantum mechanical models of systems. iit jee syllabus useful for those student who want to prepare for iit exam. In the next session we will discuss about How to solve linear inequalities.
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