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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.
What is standard index form?
Standard index form is a convenient way to represent very large or very small numbers. It is often used in physics where these extreme values are used regularly. E.g. 6.63 x 10-34 is a common value used. 5 x 102 is 500 which is equivalent to 5 x 10 x 10 5 x 10-2 is 0.05 which is equivalent to 5 / 10 / 10
How do you solve the following inequality 1 divided by l6x-5l is less than or equal to 5. 6x-5 is in absolute value.?
Split it into two cases. First - 6x-5 is positive(greater or equal to zero): Equation will get following form: 6x-5 <= 5 This resolves to x <= 10/6. Second case - 6x-5 is less than zero: Equation will get following form: -6x+5 <= 5 This resolves to x >= 0. As we can see, x has to be both greater than zero and less than or equal to 10/6, and this is our answer. 0 <= x <= 10/6
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.
What set the stage for the emergence of the earliest form of social inequality?
the domestication revolution
The belief that social inequality is fair because social position reflects personal talent and effort is a form of ideology most widely found in?
caste system
What extreme was an Nazism?
Socialism. And Communism is the most extreme version of Socialism.
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 can be considered an extreme form of rebreathing?
holding your breath is an extreme form of rebreathing
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".
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 did Charles Dickenss writings served as a form of social criticism?
Charles Dickens's writings served as a form of social criticism by revealing the harsh realities of Victorian society, including poverty, inequality, and the struggles of the working class. Through his vivid descriptions and memorable characters, Dickens highlighted the injustices and hypocrisy of his time, calling for social reform and compassion towards the less fortunate. His works raised awareness about pressing social issues and influenced public opinion.
What is the difference between chiaroscuro and tenebroso?
tenebroso is an extreme form of chiaroscuro.
