5.1-5.2 1-2 step inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (such as <, >, ≤, ≥) to show that one expression is not equal to the other.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

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

Back

'At most' is represented by the symbol '≤'. For example, if Bob needs at most 10 to go to the movies, it is written as x ≤ 10.

Front

Translate: A number increased by 4 is no more than -18.

Back

x + 4 ≤ -18.

Front

What inequality represents the statement: Janine's goal is to earn at least $80 for soccer camp, and she has earned $32 so far?

Back

x + 32 ≥ 80.

Front

How do you solve the inequality x + 4 ≤ -18?

Back

Subtract 4 from both sides: x ≤ -22.

Front

What is the solution to the inequality 125x + 55 < 600?

Back

First, subtract 55 from both sides: 125x < 545. Then, divide by 125: x < 4.36.

Front

What does the number line graph representing x < 2 look like?

Back

It shows an open circle at 2 and a line extending to the left, indicating all numbers less than 2.

Front

How do you write the inequality for: The DJ charges $125 per hour and the total cost must be under $600?

Back

125x + 55 < 600.