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?

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 solve the inequality k/-12 ≤ -7?

Back

Multiply both sides by -12 (remember to flip the inequality): k ≥ 84.

Front

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

Back

x ≥ -10.

Front

How do you solve the inequality 6 - 2h > 30?

Back

Subtract 6 from both sides: -2h > 24, then divide by -2 (flip the inequality): h < -12.

Front

What is the solution to the inequality 8x ≥ -32?

Back

x ≥ -4.

Front

What does the graph of 11 ≤ a look like?

Back

It includes all values of 'a' that are greater than or equal to 11, represented by a closed dot at 11 and a line extending to the right.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

How do you graph the inequality x < 3?

Back

Draw a number line, place an open circle at 3, and shade to the left.