HA: 2.quick one variable inequalities flashcard

Front

What is a one-variable inequality?

Back

An inequality that contains one variable and shows the relationship between that variable and a number, using symbols like <, >, ≤, or ≥.

Front

How do you solve the inequality -4(-7 - 5x) > 188?

Back

First, distribute -4: 28 + 20x > 188. Then, isolate x: 20x > 160, so x > 8.

Front

Write an inequality for a student volunteering at least 5 hours per week.

Back

x ≥ 5, where x represents the number of hours volunteered.

Front

What does the inequality 6 > x mean?

Back

It means that x can be any number less than 6.

Front

If a parking garage charges a base fee of $2.50 and $4.00 per hour, how long can you park for at most $12.50?

Back

You can park for 2.5 hours.

Front

What is the solution to the inequality x < -32?

Back

Any number less than -32.

Front

What does the symbol '≥' represent in inequalities?

Back

It means 'greater than or equal to'.

Front

How do you graph the inequality x > 8?

Back

Draw a number line, place an open circle at 8, and shade to the right.

Front

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

Back

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

Front

If x ≤ 5, what are the possible values for x?

Back

Any number less than or equal to 5.