Unit 5 Restest

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 equal to the other. Examples include <, >, ≤, and ≥.

Front

What does the symbol '>' mean in inequalities?

Back

Front

What does the symbol '≥' mean in inequalities?

Back

Front

How do you represent a solution set graphically?

Back

A solution set can be represented on a number line or coordinate plane, showing all the values that satisfy the inequality.

Front

Back

The solution set includes all real numbers greater than -2, represented as (-2, ∞).

Front

How do you determine if a point is in the solution set of an inequality?

Back

Substitute the coordinates of the point into the inequality. If the inequality holds true, the point is in the solution set.

Front

Back

This inequality represents a region on the coordinate plane where the values of x and y satisfy the condition that 3 times x minus 2 times y is greater than or equal to 15.

Front

Back

Front

Back

The graph is a line with a slope of -1/2 and a y-intercept of 5, with the area below the line shaded to represent the solution set.

Front

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

Back

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