Multistep inequalities

Front

What is a multistep inequality?

Back

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

Front

How do you solve the inequality 6x + 2 < 14?

Back

Subtract 2 from both sides: 6x < 12. Then divide by 6: x < 2.

Front

What does the solution x < 1 represent on a number line?

Back

It represents all numbers to the left of 1, not including 1 itself.

Front

What is interval notation for x < 8?

Back

(-∞, 8) represents all numbers less than 8.

Front

How do you express the solution x ≥ -7 in interval notation?

Back

[-7, ∞) represents all numbers greater than or equal to -7.

Front

What is the first step in solving the inequality -3 - 6(4x + 6) > -111?

Back

Distribute -6: -3 - 24x - 36 > -111.

Front

What does the inequality x > 3 mean?

Back

It means x can be any number greater than 3.

Front

How do you graph the inequality x ≤ -15?

Back

Draw a solid dot on -15 and shade to the left.

Front

What is the solution to the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides: 2x < 8, then divide by 2: x < 4.

Front

What does the solution x > -3 represent on a number line?

Back

It represents all numbers to the right of -3, not including -3 itself.