ORDERING REAL NUMBERS SETS/SUBS AND MIX

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other. Examples include <, >, ≤, and ≥.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation by performing inverse operations (addition, subtraction, multiplication, division) on both sides.

Front

What is the scale factor in dilation?

Back

The scale factor is a number that scales, or multiplies, the dimensions of a shape during dilation. A scale factor greater than 1 enlarges the shape, while a scale factor between 0 and 1 reduces it.

Front

What does it mean to dilate a shape?

Back

To dilate a shape means to resize it by a scale factor relative to a fixed point, called the center of dilation. The shape maintains its proportions but changes in size.

Front

What is the solution to the equation 8x - 8 = -4x + 16?

Back

The solution is x = 2.

Front

How do you compare square roots?

Back

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Back

Front

What is the significance of the solution set in inequalities?

Back

The solution set of an inequality represents all the values that satisfy the inequality. It can be expressed in interval notation or graphically on a number line.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the endpoints, while non-strict inequalities (≤, ≥) include the endpoints.

Front

How do you find the coordinates of a dilated point?

Back

To find the coordinates of a dilated point, multiply the original coordinates by the scale factor. For example, if the original point is (x, y) and the scale factor is k, the new coordinates will be (kx, ky).