4.10 Practice- Writing Equations with Variables on Both Sides

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 '≥' represent?

Back

'≥' means 'greater than or equal to'.

Front

How do you write an inequality for Cody’s Gym and Tyler’s Gym to find when Tyler’s Gym is a better deal?

Back

30 + 20x < 15 + 30x

Front

If Cody’s Gym charges a $15 fee and $30 per month, what is the total cost after x months?

Back

Total cost = 15 + 30x.

Front

If Tyler’s Gym charges a $30 fee and $20 per month, what is the total cost after x months?

Back

Total cost = 30 + 20x.

Front

How do you determine when one gym is a better deal than the other?

Back

Set up an inequality comparing the total costs of both gyms and solve for x.

Front

What is the solution to the inequality 30 + 20x < 15 + 30x?

Back

x > 1.5.

Front

What does 'at least' mean in terms of inequalities?

Back

'At least' means the value is greater than or equal to a certain number, represented by ≥.

Front

How do you express the condition that the temperature must stay below 50°F?

Back

You can express this as an inequality: T < 50.

Front

If the temperature is currently 71°F and decreases by 3.5°F per hour, how do you find when it will be below 50°F?

Back

Set up the inequality: 71 - 3.5x < 50.