Day 63 - solving and Graphing Inequalities

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 '<' mean in an inequality?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' mean in an inequality?

Back

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

Front

What does the symbol '≥' mean in an inequality?

Back

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

Front

How do you solve the inequality -5m < 10?

Back

Divide both sides by -5 and reverse the inequality sign: m > -2.

Front

How do you solve the inequality 6t + 4 ≤ -2?

Back

Subtract 4 from both sides: 6t ≤ -6, then divide by 6: t ≤ -1.

Front

When graphing an inequality, what does an open dot represent?

Back

An open dot represents that the number is not included in the solution (used for < or >).

Front

When graphing an inequality, what does a closed dot represent?

Back

A closed dot represents that the number is included in the solution (used for ≤ or ≥).

Front

How do you solve the inequality 7k - 2 ≥ -9?

Back

Add 2 to both sides: 7k ≥ -7, then divide by 7: k ≥ -1.