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How do you know when to use the less than symbol and when to use the less than or equal to symbol when writing an inequality for a situation?
It depends upon whether the inequality is strictly less than (<), or if it is less than or could be equal (≤).
For example:
if x < 6, x can have any value less than 6, but cannot have the value 6; but
if x ≤ 6, x can have any value less than 6, but can also have the value 6.
Or put another way, x = 6 is NOT a solution of x < 6, but IS a solution to x ≤ 6.
What else can I help you with?
What inequality is greater than or equal to -5?
An inequality has no magnitude. A number can be greater than or equal to -5, but not an inequality.
What is a comparison of two expressions that are not equal?
an inequality
When will the graph of an equation inequality be a dotted line?
The line is dotted when the inequality is a strict inequality, ie it is either "less than" (<) or "greater than" (>). If there is an equality in the inequality, ie "less than or equal to" (≤), "greater than or equal to" (≥) or "equal to" (=) then the line is drawn as a solid line.
Is 4 a solution to the inequality x4?
x^4 is not an inequality. (An inequality has a "bigger than or equal to/less than or equal to/less than/bigger than" sign involved. I.e not an "equals" sign, since this would be an "equality"). But x^4 is not an equality, nor an inequality.
When graphing an inequality with the symbol less than or equal to what is drawn?
if you have y <= f(x), then graph the function y = f(x) with a solid line, then shade everything below that graph.
What is the math symbol for is at most?
The inequality symbol for less than or equal to: ≤
When graphing a linear inequality the first step is to replace the inequality symbol with what sign?
With the equal sign (=).
How does an inequality symbol act differently than an equal symbol?
An inequality is not a reflexive relationship.
What is a number x is at most -10?
If you want that as an inequality, you write:x <= -10 You can replace "<=" with the corresponding inequality symbol (less than or equal).
Which inequality symbol represents the statement No more than?
The inequality symbol that represents the statement "no more than" is "≤" (less than or equal to). This symbol indicates that a value can be equal to or less than a specified limit. For example, if a variable ( x ) is described as "no more than 10," it can be expressed as ( x ≤ 10 ).
When the variable is on the left of the inequality symbol which inequality symbol is represented by a closed circle and a ray going to the left?
When the variable is on the left of the inequality symbol, a closed circle and a ray going to the left represent the inequality "≥" (greater than or equal to). This indicates that the value of the variable can be equal to the number at the closed circle or any number greater than it, extending infinitely to the left. Conversely, an open circle with a ray going to the left would represent ">" (greater than).
What are two expressions with comparison symbols called?
If the "comparison symbol" is the equal sign, it is called an "equation". If the symbol is less than, greater than, less-than-or-equal, or greater-than-or-equal, it's called an "inequality".
Define solution of a linear inequality in two variable?
If the equal sign in a linear equation in two variables is replaced with an inequality symbol, the result is a linear inequality in two variables. 3x-2y>7 x<-5
What is a symbol representing a quantity that doesn't have an equal sign called?
An inequality sign which means > more than and < less than
What is the sign used to compare quantities and measurements?
The sign used to compare quantities and measurements is the inequality symbol, which includes greater than (>), less than (<), greater than or equal to (≥), and less than or equal to (≤).
What inequality is greater than or equal to -5?
An inequality has no magnitude. A number can be greater than or equal to -5, but not an inequality.
What do you call a mathematical sentence with a greater than or less than symbol?
A strict inequality. The word "strict" is used to distinguish these from "greater than or equal to" and"less than or equal to".
