Inequalities (Part 2)

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 -4a ≤ -28?

Back

Divide both sides by -4, remembering to flip the inequality sign: a ≥ 7.

Front

What is the solution set of the inequality x < 6?

Back

The solution set includes all real numbers less than 6.

Front

How do you check if m = -2 is a solution for -8(m + 2) < 4(5 + 2m)?

Back

Substitute m = -2 into the inequality: -8(0) < 4(1) which simplifies to 0 < 4, true.

Front

What is the first step to solve the inequality 7 - 3(-2x - 1) < -11?

Back

Distribute -3: 7 + 6x + 3 < -11.

Front

What is the final solution for the inequality 7 - 3(-2x - 1) < -11?

Back

x < -7/2.

Front

If Addie saved more than $36, how is this represented in inequality form?

Back

s > 36.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that satisfy the inequality.