Introduction to inequalities in math 1:
An expression is the form of replication of the numbers by multiplying on the expression is called as the exponential expression. In this some of the exponents are in squared form x^2 , cubed form x^3 and this is available up to xn which of these terms are used in the algebraic inequalities. These are related or combined form with the functions as greater than >, less than <, greater than or equal to `>=` , less than or equal to `<=` , not equal to` !=` , Here we are going to analyze about how to solve inequalities in math 1, and we are solving the problems based on inequalities in math 1.
I like to share this What are Inequalities with you all through my article.
Basic Rules of inequalities:
a < b, it means a is smaller than b.
a `<=` b, it means a is smaller than or equal to b.
a > b, it means a is larger than b,
a `>=` b, it means a is larger than or equal to b.
a `!=` b, it means a is smaller than b or larger than b but not equal to b.
Mathematical operations used in the inequalities Math 1:
Addition:
If a < b , then in addition c on both sides a + c < b + c. same for a > b, a `<=` b, a`>=` b, a `!=` b.
Subtraction:
If a < b , then in subtracting c on both sides a - c < b - c. same for a > b, a `<=` b, a`>=` b, a `!=` b.
Multiplication by positive c:
If a < b, then multiplying with positive c on both sides ac < bc. as same for a > b, a `<=` b, a`>=` b, a `!=` b.
Multiplication by negative c:
If a < b, then multiplying with negative c on both sides ac > bc. as same for a > b, a `<=` b, a`>=` b, a `!=` b.
Divide by Positive c:
If a < b, then dividing with positive c on both sides `a/c` < `b/c` . as same for a > b, a `<=` b, a`>=` b, a `!=` b.
Divide by negative c:
If a < b, then dividing with negative c on both sides `a/c` > `b/c` . as same for a > b, a `<=` b, a`>=` b, a` !=` b.
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Inequalities math 1 - Example Problems:
Inequalities math 1 - Problem 1:
Solve ` 15 >= x+20 >= 25`
Solution:
` 15>=x+20 >= 25`
Add with -15 on both sides
`15-15>=x + 5 -15 >= 25 -15`
`0>=x - 10 >= 10`
Add with +10 on either sides
`0 + 10 >= x - 10 + 10 > = 10 +10`
`10 >= x >= 20`
Inequalities math 1 - Problem 2:
Solve ` 16 <= -x+24 <= 48`
Solution:
`16 <= -x +24 <= 48`
Add with -16 on both sides
`16-16 <= -x+24-16 <= 48-16`
`0 <= -x + 8 <= 32 `
Add with -8 an either sides.
`0 - 8 <= -x +8 - 8 <= 32 -8`
`-8 <= -x <= 24`
Divide by -1 an ethher sides
`((-8)/(-1)) <= ((-x)/(-1)) <= ((24)/(-1))`
Due to the change in negative sign the inequalities symbol also changes.
`8 >= x >= -24`
An expression is the form of replication of the numbers by multiplying on the expression is called as the exponential expression. In this some of the exponents are in squared form x^2 , cubed form x^3 and this is available up to xn which of these terms are used in the algebraic inequalities. These are related or combined form with the functions as greater than >, less than <, greater than or equal to `>=` , less than or equal to `<=` , not equal to` !=` , Here we are going to analyze about how to solve inequalities in math 1, and we are solving the problems based on inequalities in math 1.
I like to share this What are Inequalities with you all through my article.
Basic Rules of inequalities:
a < b, it means a is smaller than b.
a `<=` b, it means a is smaller than or equal to b.
a > b, it means a is larger than b,
a `>=` b, it means a is larger than or equal to b.
a `!=` b, it means a is smaller than b or larger than b but not equal to b.
Mathematical operations used in the inequalities Math 1:
Addition:
If a < b , then in addition c on both sides a + c < b + c. same for a > b, a `<=` b, a`>=` b, a `!=` b.
Subtraction:
If a < b , then in subtracting c on both sides a - c < b - c. same for a > b, a `<=` b, a`>=` b, a `!=` b.
Multiplication by positive c:
If a < b, then multiplying with positive c on both sides ac < bc. as same for a > b, a `<=` b, a`>=` b, a `!=` b.
Multiplication by negative c:
If a < b, then multiplying with negative c on both sides ac > bc. as same for a > b, a `<=` b, a`>=` b, a `!=` b.
Divide by Positive c:
If a < b, then dividing with positive c on both sides `a/c` < `b/c` . as same for a > b, a `<=` b, a`>=` b, a `!=` b.
Divide by negative c:
If a < b, then dividing with negative c on both sides `a/c` > `b/c` . as same for a > b, a `<=` b, a`>=` b, a` !=` b.
Please express your views of this topic Hex Converter by commenting on blog
Inequalities math 1 - Example Problems:
Inequalities math 1 - Problem 1:
Solve ` 15 >= x+20 >= 25`
Solution:
` 15>=x+20 >= 25`
Add with -15 on both sides
`15-15>=x + 5 -15 >= 25 -15`
`0>=x - 10 >= 10`
Add with +10 on either sides
`0 + 10 >= x - 10 + 10 > = 10 +10`
`10 >= x >= 20`
Inequalities math 1 - Problem 2:
Solve ` 16 <= -x+24 <= 48`
Solution:
`16 <= -x +24 <= 48`
Add with -16 on both sides
`16-16 <= -x+24-16 <= 48-16`
`0 <= -x + 8 <= 32 `
Add with -8 an either sides.
`0 - 8 <= -x +8 - 8 <= 32 -8`
`-8 <= -x <= 24`
Divide by -1 an ethher sides
`((-8)/(-1)) <= ((-x)/(-1)) <= ((24)/(-1))`
Due to the change in negative sign the inequalities symbol also changes.
`8 >= x >= -24`
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