1D Solving and Graphing Inequalities 4

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

'≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

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

Back

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

Front

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

Back

Divide both sides by 8: x ≥ -4.

Front

Which graph represents the inequality b ≤ -2?

Back

The graph should show a closed circle at -2 and a line extending to the left.

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.

Front

What does the solution h > 12 look like on a number line?

Back

An open circle at 12 with shading to the right.

Front

If 6 > x, what is the equivalent inequality?

Back

x < 6.

Front

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

Back

'>' means strictly greater than, while '≥' includes the possibility of being equal.