2-Step Inequalities

Front

What is a 2-step inequality?

Back

A 2-step inequality is an inequality that requires two operations to isolate the variable, often involving addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality 2k - 9 ≤ -19?

Back

Add 9 to both sides: 2k ≤ -10. Then divide by 2: k ≤ -5.

Front

What does the symbol '≤' mean?

Back

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

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

What does the symbol '≥' mean?

Back

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

Front

How do you solve the inequality 3x - 2 ≥ 34?

Back

Add 2 to both sides: 3x ≥ 36. Then divide by 3: x ≥ 12.

Front

What is the first step in solving the inequality 77 ≤ 5 + 8n?

Back

Subtract 5 from both sides: 72 ≤ 8n.

Front

How do you graph the solution of an inequality?

Back

Use a number line to represent the solution set, shading the region that satisfies the inequality and using open or closed circles to indicate whether endpoints are included.

Front

What is the solution to the inequality -4x + 5 ≤ 29?

Back

Subtract 5 from both sides: -4x ≤ 24. Then divide by -4 (remember to flip the inequality): x ≥ -6.

Front

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

Back

'>' means 'greater than' (not including the number), while '≥' means 'greater than or equal to' (including the number).