U2 Intro to Inequalities + Writing Inequalities

Front

What symbol is used for an open dot when graphing an inequality?

Back

< or >

Front

What does the inequality b ≤ -2 represent on a graph?

Back

It includes all values of b that are less than or equal to -2.

Front

If Ross and Chandler have $20 and spend $3.50 on sodas, how many tacos can they buy if each taco costs $1.75?

Back

1.75t + 3.50 ≤ 20

Front

What inequality represents Triniti's situation of wanting to have at least $200 left after withdrawing $25 each week?

Back

500 - 25x ≥ 200

Front

What does the inequality x > 2 or x ≤ -3 mean?

Back

x can be any value greater than 2 or any value less than or equal to -3.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

How do you represent 'at least' in an inequality?

Back

Use the symbol ≥.

Front

What does the symbol < mean in an inequality?

Back

It means 'less than'.

Front

What does the symbol > mean in an inequality?

Back

It means 'greater than'.

Front

How do you graph the inequality x < 3?

Back

Draw a number line, place an open dot at 3, and shade to the left.