Solving Multi-Step Inequalities

Front

What does the inequality s ≤ 18 represent in a real-world context?

Back

It indicates that there are at most 18 students in the hall.

Front

How do you interpret the inequality r ≥ -6?

Back

It means that the value of r is greater than or equal to -6.

Front

What does a closed circle on a number line indicate in terms of inequalities?

Back

It indicates that the endpoint is included in the solution set.

Front

What does an open circle on a number line indicate in terms of inequalities?

Back

It indicates that the endpoint is not included in the solution set.

Front

Solve the inequality: -4x + 14 ≤ 54. What is the solution?

Back

x ≥ -10.

Front

Solve the inequality: 6x + 10 > 5x - 12. What is the solution?

Back

x > -22.

Front

What is the first step in solving multi-step inequalities?

Back

Isolate the variable on one side of the inequality.

Front

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

Back

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

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 inequality 2x - 5 < 3 represent?

Back

It represents that 2 times a number x, minus 5, is less than 3.