Solving Linear Inequalities Review

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (e.g., <, >, ≤, ≥).

Front

What does the symbol '<' represent?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' represent?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' represent?

Back

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

Front

What does the symbol '≥' represent?

Back

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

Front

How do you solve the inequality 4(2a + 3) < 3(a - 1)?

Back

First, distribute: 8a + 12 < 3a - 3. Then, isolate 'a': 5a < -15, so a < -3.

Front

What is the solution to the inequality -4x + 14 ≤ 54?

Back

First, subtract 14 from both sides: -4x ≤ 40. Then, divide by -4 (flip the sign): x ≥ -10.

Front

When solving inequalities, what happens to the inequality sign when multiplying or dividing by a negative number?

Back

The inequality sign flips.

Front

What is the solution to the inequality -2x ≥ 22?

Back

Divide by -2 (flip the sign): x ≤ -11.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means representing the solution set on a number line, showing all values that satisfy the inequality.