A1 OPTIONAL Test 5 REVIEW: Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you graph an inequality on a number line?

Back

To graph an inequality on a number line, use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate side.

Front

What is a solution set in the context of inequalities?

Back

A solution set is the set of all values that satisfy the inequality.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the coordinates of the point into each inequality. If the point satisfies all inequalities, it is a solution.

Front

What is the difference between 'and' and 'or' in systems of inequalities?

Back

'And' means the solution must satisfy all inequalities simultaneously, while 'or' means the solution can satisfy at least one of the inequalities.

Front

How do you solve the inequality 5(v + 3) - 10v > -10?

Back

First, simplify: 5v + 15 - 10v > -10. Combine like terms: -5v + 15 > -10. Then, isolate v: -5v > -25, so v < 5.

Front

What is the graphical representation of the inequality y ≤ 2/5x + 1?

Back

The graph is a line with a slope of 2/5, and the area below the line is shaded, including the line itself.

Front

What does it mean for a point to be part of the solution set?

Back

A point is part of the solution set if it satisfies the inequality or system of inequalities.