Solving 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

'≥' means 'greater than or equal to'.

Front

What does the symbol '<' mean?

Back

'<' means 'less than'.

Front

How do you solve the inequality 9x + 3 ≥ 57?

Back

Subtract 3 from both sides: 9x ≥ 54. Then divide by 9: x ≥ 6.

Front

What is the solution set of an inequality?

Back

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

Front

Is (0,0) a solution to the inequality 2x + 3y < 6?

Back

Yes, because substituting x=0 and y=0 gives 0 < 6, which is true.

Front

How do you graph the inequality x > 3?

Back

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

Front

What does it mean if a point is NOT in the solution set of an inequality?

Back

It means that substituting the point into the inequality does not satisfy the condition.

Front

Solve the inequality 7x - 3 > 18.

Back

Add 3 to both sides: 7x > 21. Then divide by 7: x > 3.

Front

Solve the inequality 8x - 7 < 9.

Back

Add 7 to both sides: 8x < 16. Then divide by 8: x < 2.