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Inequalities are similar to equations, you have to solve for a variable (X, Y, Z , A, B, etc...), the main difference is that with an equation you are solving for only one value (X=3, Z=4, A=-9, etc) with an inequality you are solving for a range of numbers, that means that you variable can be a number greater than, less than, greater or equal than to, less or equal than to...
For Example: If X > 3 (X is greater than 3) , X can be any value from 3.1, 3.2, 5, 7, 900, 1000 and so on.
Let's remember the symbols for inequalities
Greater than >
Less than <
Greater than or equal to ≥
Less than or equal to ≤
- Step 2
Solve the inequality like a regular equation
We have the inequality 3(X-4) ≤ X - 6. Let's solve for "X" , that means to leave "X" alone. We can solve this like a regular equation.
- Step 3
Solve the Parenthesis
First we need to remember PEMDAS (Please Excuse My Dear Aunt Sally). We have to solve for the parenthesis. Let's multiply 3 times X, and 3 times -4
- Step 4
Move the variables to the left side
Once we do the parenthesis, 3x - 12 ≤ X -6, let's move the "X" from the right to the left side, we do this by adding "X" to both sides.
- Step 5
Move the numbers to the right side
Our inequality looks like this 2X - 12 ≤ X -6. Now we have to move -12 from the left to the right side, let's add 12 to both sides.
- Step 6
Divide by 2 both sides
Our main goal is to leave "X" alone, 2 is multiplying X, let's eliminate him from the left side by dividing both sides by 2
- Step 7
Final Answer
Our result is X ≤ 3, that means that the value of X has to be a number less than or equal to the number 3. For example 3, 2, 1, 0 -1, -2, -3 and so on. We can also write our answer like this (-∞, 3], we use always parenthesis for the infinitive symbol , and we use a bracket because our inequality is less than or equal to. If our equation was 3(X-4) < X -6, then our answer would be ( -∞, 3) with a parenthesis, this means that X can not be 3, it has to be less than 3, for example 2.99, 2.50, 0, -1, -2, -3 . Conclusion. If you have an inequality with the equal symbol (≤≥) , you have to use the bracket [], if you have the inequality without the equal symbol (<>), then you have to use parenthesis (
What else can I help you with?
How do you write a compound inequality by a graph?
To write a compound inequality from a graph, first identify the critical points where the graph changes direction or has boundaries. Determine the intervals represented by the shaded regions—if they are open or closed. Then, express the relationship between these intervals using "and" (for overlapping regions) or "or" (for separate regions) to form the compound inequality. Finally, use inequality symbols to represent the boundaries of each interval accurately.
How do I write a system of linear inequalities?
Instead of using y = mx + b you use y (inequality sign) mx + b. By inequality sign, I mean symbols like
How do you write an algebraic inequality for... all numbers x are greater than or equal to negative four?
x ≥ -4
What is a value or values that make an inequality true?
a solution of inequality
When is the only time you flip an inequality sign?
When you divide both sides of an inequality by a negative number, the inequality sign flips.
How do you write a thesis for gender inequality?
To write a thesis for gender inequality one would need to identify a narrow topic to discuss about gender inequality. One example would be, how gender inequality in the workplace hurts us all.
How do you write an equation or inequality?
no chit Sherlock
How do you write and inequality statement for 2 and 17?
2 is not equal to 17.
How do you write an inequality as two inequalities?
Google it, I dont know :P
How do i write an inequality that represents that i cant exceed from 450.00?
x <= 450
Write an inequality for each sentence Graph the solutions of each inequality on a number line r is not greater than five?
r <= 5.
Write an inequality and provide a value that may or may not be a solution to the inequality?
perimeter of a rectangle = 96m w = 3 + 0.5L what is W and L? (answer: 18 and 30)
How can you write an inequality that is neither true nor false?
If you use a variable, or variables, with an equation, or with an inequality, it is neither true nor false until you replace the variables with specific values.
How do I write a system of linear inequalities?
Instead of using y = mx + b you use y (inequality sign) mx + b. By inequality sign, I mean symbols like
Write an inequality for the product of 12 and a number is greater than36?
12n > 36 n > 3
What inequality would you write for 5 times a number is greater than 25?
5n > 25
Is this a inequality 7y27 y4?
The expression "7y27 y4" does not represent a standard mathematical inequality. It appears to be a combination of numbers and variables without clear operators or relational symbols (like <, >, ≤, or ≥). If you intended to write an inequality, please clarify the expression, and I can help you interpret it correctly.
