Solving Multi-Step Inequalities

Front

What is a multi-step inequality?

Back

An inequality that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.

Front

Solve: 4(2a + 3) < 3(a - 1)

Back

a < -3

Front

What does the inequality r ≥ -6 represent graphically?

Back

A solid dot at -6 and a line extending to the right, indicating all values greater than or equal to -6.

Front

What is the solution to the inequality X ≤ 24?

Back

X can take any value less than or equal to 24.

Front

How do you represent the inequality 'You want to spend at most $1200 on a new laptop' mathematically?

Back

12x + 400 < 1200

Front

What is the first step in solving the inequality 3x + 5 < 20?

Back

Subtract 5 from both sides to isolate the term with the variable.

Front

What does the symbol '>' mean in an inequality?

Back

It means 'greater than'.

Front

How do you graph the inequality x < 5?

Back

Draw a number line, place an open circle at 5, and shade to the left.

Front

What is the solution set for the inequality 2x + 3 > 7?

Back

x > 2.

Front

What does the inequality x ≥ 10 indicate?

Back

x can take any value greater than or equal to 10.