HOPE: UNIT 2B Equations and InequalitiesReview

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality sign using inverse operations, similar to solving an equation.

Front

What does the symbol '≥' represent?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent?

Back

'≤' means 'less than or equal to'.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

Front

How do you graph a linear inequality on a number line?

Back

To graph a linear inequality, use an open circle for '>' or '<' and a closed circle for '≥' or '≤'. Shade the region that represents the solution set.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is not necessarily equal to the other and can be greater or less.

Front

How do you check if a value is a solution to an inequality?

Back

Substitute the value into the inequality and see if the statement is true.

Front

What is the first step in solving the inequality s + 9 ≥ -25?

Back

Subtract 9 from both sides to isolate s.

Front

What is the solution to the inequality -2x ≤ 14?

Back

x ≥ -7, after dividing both sides by -2 and reversing the inequality sign.