Writing Inequalities

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 '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality w + 4 ≤ -5?

Back

Subtract 4 from both sides: w ≤ -9.

Front

How do you solve the inequality y + 7 ≥ 12?

Back

Subtract 7 from both sides: y ≥ 5.

Front

What inequality represents the situation: Your brother has $2,000 saved for a vacation, and his airplane ticket is $637?

Back

637 + x ≤ 2000.

Front

What inequality represents the height requirement to ride a roller coaster: You have to be taller than 48 inches?

Back

r > 48.

Front

How do you determine the food fee if a caterer charges a service fee of $175 and the total is less than $1,000?

Back

x + 175 < 1000.

Front

What is the first step in solving an inequality?

Back

Identify the variable and isolate it on one side of the inequality.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that satisfy the inequality.