How do u Solve Inequality
To solve inequality from the given expression it is necessary to compare the values of the variables. Inequality is defined as the process of comparing on one or more variables present in the Algebraic expression. There are four types of inequality symbols such as less than or equal to, greater then or equal to, less than, greater than. The following are the example problems in algebraic expression with inequality signs. The example problems are solved with detailed solutions.
Example problems in inequality:
Example 1:
Solve the inequality expression.
-4(u - 2) – 3u - 2 ≥ 3(u + 3) – 3u
Solution:
Given expression is
-4(u - 2) – 3u - 2 ≥ 3(u + 3) – 3u
Multiplying the integer term and grouping the terms.
-4u + 8 – 3u - 2 ≥ 3u + 9 – 3u
Grouping the terms
-7u + 6 ≥ 9
Subtract 6 on both sides
-7u + 6 - 6 ≥ 9 -6
Grouping the terms
-7u ≥ 3
u ≥ -3/7 is the solution.
Example 2:
Solve the inequality expression
-4(u + 2) < u + 8
Solution:
Given expression is
-4(u + 2) < u + 8
Multiplying the integer terms
-4u - 8 < u + 8
Add 8 on both sides
-4u - 8 + 8 < u + 8 + 8
Grouping the above terms
-4u < u + 16
Subtract u on both sides
-4u - u < u + 16 -u
Grouping the above terms
-5u < 16
Multiply -1/5 on both sides
u < -16/5
u < -17/5 is the solution.
Example 3:
Between, if you have problem on these topics Inequalities with Absolute Value, please browse expert math related websites for more help on neet syllabus 2014.
Solve the inequality expression
1 – 2/(u - 8) ≤ 4
Solution:
Multiplying the denominator term (u-8) on both the sides of the above equation
(u - 8)(1 - 2 / (u - 8)) ≤ (u - 8)4
Simplify the above equation.
(u - 8)-2 ≤ 4(u - 8)
Multiplying the integer term and grouping the terms.
u - 10 ≤ 4u -32
Add -4u on both sides and solve it
-3u -10 ≤ -32
Add + 10 on both sides
-3u ≤ - 22
Solve for u
u ≤22/3
u ≤22/3 is the solution.
Practice problems in inequality:
1) Solve the inequality expression
(u - 2)(u + 1) ≥ - u + 2
Answer: u ≥ -23
2 Solve the inequality expression
-4(u + 2) – 4u - 2 ≤ 3(u + 2) – u
Answer: u ≤ -8
Example problems in inequality:
Example 1:
Solve the inequality expression.
-4(u - 2) – 3u - 2 ≥ 3(u + 3) – 3u
Solution:
Given expression is
-4(u - 2) – 3u - 2 ≥ 3(u + 3) – 3u
Multiplying the integer term and grouping the terms.
-4u + 8 – 3u - 2 ≥ 3u + 9 – 3u
Grouping the terms
-7u + 6 ≥ 9
Subtract 6 on both sides
-7u + 6 - 6 ≥ 9 -6
Grouping the terms
-7u ≥ 3
u ≥ -3/7 is the solution.
Example 2:
Solve the inequality expression
-4(u + 2) < u + 8
Solution:
Given expression is
-4(u + 2) < u + 8
Multiplying the integer terms
-4u - 8 < u + 8
Add 8 on both sides
-4u - 8 + 8 < u + 8 + 8
Grouping the above terms
-4u < u + 16
Subtract u on both sides
-4u - u < u + 16 -u
Grouping the above terms
-5u < 16
Multiply -1/5 on both sides
u < -16/5
u < -17/5 is the solution.
Example 3:
Between, if you have problem on these topics Inequalities with Absolute Value, please browse expert math related websites for more help on neet syllabus 2014.
Solve the inequality expression
1 – 2/(u - 8) ≤ 4
Solution:
Multiplying the denominator term (u-8) on both the sides of the above equation
(u - 8)(1 - 2 / (u - 8)) ≤ (u - 8)4
Simplify the above equation.
(u - 8)-2 ≤ 4(u - 8)
Multiplying the integer term and grouping the terms.
u - 10 ≤ 4u -32
Add -4u on both sides and solve it
-3u -10 ≤ -32
Add + 10 on both sides
-3u ≤ - 22
Solve for u
u ≤22/3
u ≤22/3 is the solution.
Practice problems in inequality:
1) Solve the inequality expression
(u - 2)(u + 1) ≥ - u + 2
Answer: u ≥ -23
2 Solve the inequality expression
-4(u + 2) – 4u - 2 ≤ 3(u + 2) – u
Answer: u ≤ -8