Inequalities, Compound Inequalities, Absolute Value Eq and Ineq.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '|' represent in absolute value?

Back

The symbol '|' represents the absolute value, which is the distance of a number from zero on the number line, regardless of direction.

Front

Solve the inequality: 3x + 2 < -7.

Back

x < -3.

Front

What is a compound inequality?

Back

A compound inequality combines two or more inequalities, often using 'and' or 'or' to connect them.

Front

Solve the compound inequality: -4x + 5 < 1.

Back

x > 1.

Front

What does it mean if an absolute value inequality has no solution?

Back

It means that there are no values of the variable that can satisfy the inequality.

Front

Solve the inequality: |x + 1| ≥ 3.

Back

x ≤ -4 or x ≥ 2.

Front

What is the solution to the equation -|−2r − 1| = 11?

Back

No Solution.

Front

Solve the inequality: -2(x + 2) < 14.

Back

x > -9.

Front

What is the general form of an absolute value equation?

Back

An absolute value equation is typically in the form |x| = a, where a is a non-negative number.