Introduction to Inequality in math:
In math, inequality is a statement in relation to the relationship of a size or order of two items. In mathematical term, if the reason of the inequality is the equivalent for the all ideals of the variables for which are the members are distinct, and then the inequality is known as "unqualified" inequality. In this article we are going to see inequality examples.
Having problem with Triangle Inequality Proof keep reading my upcoming posts, i will try to help you.
Example problems for Inequality:
Example 1:
Solve the inequality 2x+7 < 13.
Solution:
Given, inequality is 2x+7 < 13.
Subtract 7 with both sides, 2x+7-7 < 13-7
=> 2x < 6
Divide 2 with both sides, `(2x)/(2)` < `(6)/(2)`
=> x < 3
The answer is, x < 3.
Example 2:
Solve the inequality 3x-2 > 16.
Solution:
Given, inequality is 3x-2 > 16.
Add 2 with both sides, 3x-2+2 > 16+2
=> 3x > 18
Divide 3 with both sides, `(3x)/(3)` > `(18)/(3)`
=> x > 6
The answer is, x > 6
Example 3:
Solve the inequality x+3 `>=` 5.
Solution:
Given inequality is, x+3 `>=` 5.
Subtract the number 3 with both sides of inequality,
(x+3) - 3 `>=` 5 - 3
x `>=` 2
The answer for this example is, x `>=` 2.
Example 4:
Solve the inequality 7-x `>=` 8.
Solution:
Given inequality is, 7-x `>=` 8.
Subtract the number 7 with both sides of inequality,
(7-x) - 7 `>=` 8-7
-x `>=` 1
Multiply (-1) with both sides of an equation,
(-1) (-x) `>=` 1 (-1)
When we doing this process, we need to change the symbol `>=`with `<=`.
Therefore, we get, x `<=`-1
The answer for this example is, x `<=`-1.
These are few examples in math inequality.
Is this topic solve math word problems for me hard for you? Watch out for my coming posts.
Practice problems for Inequality:
Practice problem 1:
Solve the inequality x+3 < 2.
Answer: x < -1
Practice problem 2:
Solve the inequality 2-x > 0.
Answer: 2 > x
Practice problem 3:
Solve the inequality 3-x `>=` 5.
Answer: x `<=` -2
That's all about Inequality in math.
In math, inequality is a statement in relation to the relationship of a size or order of two items. In mathematical term, if the reason of the inequality is the equivalent for the all ideals of the variables for which are the members are distinct, and then the inequality is known as "unqualified" inequality. In this article we are going to see inequality examples.
Having problem with Triangle Inequality Proof keep reading my upcoming posts, i will try to help you.
Example problems for Inequality:
Example 1:
Solve the inequality 2x+7 < 13.
Solution:
Given, inequality is 2x+7 < 13.
Subtract 7 with both sides, 2x+7-7 < 13-7
=> 2x < 6
Divide 2 with both sides, `(2x)/(2)` < `(6)/(2)`
=> x < 3
The answer is, x < 3.
Example 2:
Solve the inequality 3x-2 > 16.
Solution:
Given, inequality is 3x-2 > 16.
Add 2 with both sides, 3x-2+2 > 16+2
=> 3x > 18
Divide 3 with both sides, `(3x)/(3)` > `(18)/(3)`
=> x > 6
The answer is, x > 6
Example 3:
Solve the inequality x+3 `>=` 5.
Solution:
Given inequality is, x+3 `>=` 5.
Subtract the number 3 with both sides of inequality,
(x+3) - 3 `>=` 5 - 3
x `>=` 2
The answer for this example is, x `>=` 2.
Example 4:
Solve the inequality 7-x `>=` 8.
Solution:
Given inequality is, 7-x `>=` 8.
Subtract the number 7 with both sides of inequality,
(7-x) - 7 `>=` 8-7
-x `>=` 1
Multiply (-1) with both sides of an equation,
(-1) (-x) `>=` 1 (-1)
When we doing this process, we need to change the symbol `>=`with `<=`.
Therefore, we get, x `<=`-1
The answer for this example is, x `<=`-1.
These are few examples in math inequality.
Is this topic solve math word problems for me hard for you? Watch out for my coming posts.
Practice problems for Inequality:
Practice problem 1:
Solve the inequality x+3 < 2.
Answer: x < -1
Practice problem 2:
Solve the inequality 2-x > 0.
Answer: 2 > x
Practice problem 3:
Solve the inequality 3-x `>=` 5.
Answer: x `<=` -2
That's all about Inequality in math.
No comments:
Post a Comment