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How does solving linear inequalities differ from solving linear equations?
Linear inequalities are equations, but instead of an equal sign, it has either a greater than, greater than or equal to, less than, or a less than or equal to sign. Both can be graphed. Solving linear equations mainly differs from solving linear inequalities in the form of the solution. 1. Linear equation. For each linear equation in x, there is only one value of x (solution) that makes the equation true. Example 1. The equation: x - 3 = 7 has one solution, that is x = 10. Example 2. The equation: 3x + 4 = 13 has one solution that is x = 3. 2. Linear inequality. On the contrary, a linear inequality has an infinity of solutions, meaning there is an infinity of values of x that make the inequality true. All these x values constitute the "solution set" of the inequality. The answers of a linear inequality are expressed in the form of intervals. Example 3. The linear inequality x + 5 < 9 has as solution: x < 4. The solution set of this inequality is the interval (-infinity, 4) Example 4. The inequality 4x - 3 > 5 has as solution x > 2. The solution set is the interval (2, +infinity). The intervals can be open, closed, and half closed. Example: The open interval (1, 4) ; the 2 endpoints 1 and 4 are not included in the solution set. Example: The closed interval [-2, 5] ; the 2 end points -2 and 5 are included. Example : The half-closed interval [3, +infinity) ; the end point 3 is included.
Where is the stern octagon on page 8 9 i you spy extreme challenger?
Hint 1 : It's on page 8. Hint 2 : The octagon is red. Hint 3 : It comes in the form of a roadsign.
What is the difference between 7 less than a number and 7 is less than a number?
7 less than a number is an algebraic expression. Given the number the expression can be evaluated. 7 is less than a number is a statement in the form of an inequality. It is true for some values of the number and not for others.
How do you write out Six times a number minus five is less than twice the number plus ten?
To write out the given statement algebraically, you would start by defining the variable for the number, let's say it is represented by 'x'. The equation would be: 6x - 5 < 2x + 10. This equation represents the statement "Six times a number minus five is less than twice the number plus ten" in algebraic form. To solve this inequality, you would isolate the variable 'x' by performing operations to simplify and find the range of values that satisfy the inequality.
What triangle measures 2m 4m and 7m?
The triangle with side lengths of 2m, 4m, and 7m does not form a valid triangle. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side according to the Triangle Inequality Theorem. In this case, 2m + 4m is less than 7m, violating the theorem. Therefore, a triangle with these side lengths cannot exist in Euclidean geometry.
What set the stage for the emergence of the earliest form of social inequality?
the domestication revolution
What' set the stage for the emergence of the earliest form of social inequality?
The transition to settled agricultural societies from hunter-gatherer lifestyles set the stage for the emergence of social inequality. Surpluses of food led to the development of classes, where some individuals could accumulate wealth and power at the expense of others. This shift marked the beginning of social hierarchies and unequal distribution of resources.
The belief that social inequality is fair because social position reflects personal talent and effort is a form of ideology most widely found in?
The belief that social inequality is fair because social position reflects personal talent and effort is a form of meritocracy ideology. This ideology is widely found in capitalist societies where success is often equated with individual merit and hard work.
What extreme was an Nazism?
Socialism. And Communism is the most extreme version of Socialism.
What was a form of legalized slavery?
Indentured servitude in colonial America was a form of legalized slavery where individuals would work under a contract for a set period in exchange for passage to America or other benefits.
How can you tell what kind of compound inequality an absolute value inequality will represent?
If the absolute value inequality is of the form where the absolute value of the difference between a variable (X) and some constant (a) is compared to another constant (b) eg |X - a| compared with b, then if the comparison is < or ≤, the compound inequality is a double inequality of the form c < X < d (or ≤), and if the comparison is > or ≥, the compound inequality is a disjoint inequality of the form X < c or X > d (or including the equals). In both cases, c = b - a, d = b + a (>c)
What accurently describes apartheid?
It ended in the late 20th century
What is the most extreme form of Authoritarianism?
most extreme form of authoritarianism called
What was the legalized form of kidnapping that forced people into military service?
The term for it is "impressment".
What is theatre for social change?
Theatre for social change is a form of performance that aims to raise awareness, provoke dialogue, and inspire action on social issues. It often involves using the power of storytelling, emotions, and engagement to address topics such as inequality, injustice, and discrimination, with the goal of promoting positive change in society.
How can the change in x affect the change in y in a inequality?
The answer depends on the nature of the inequality: whether it is linear, quadratic or has some other functional form.
What is comparative and superlative form of social?
The comparative form of "social" is "more social," and the superlative form is "most social."
