2 step inequalities review

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. It typically involves addition or subtraction followed by multiplication or division.

Front

Solve for t: 6t + 4 ≤ -2

Back

t ≤ -1

Front

Solve for k: 7k - 2 ≥ -9

Back

k ≥ -1

Front

What does the inequality 6 > x mean?

Back

It means that x is less than 6.

Front

Write an inequality for the following situation: The Junior Beta Club needs to raise at least $2000 and has already raised $300. They charge $10 per ticket.

Back

300 + 10x ≥ 2000

Front

Write an inequality for the following situation: The jazz band needs to raise at least $1800 and has already raised $750. Each member raises x dollars.

Back

750 + 23x ≥ 1800

Front

What is the first step to solve the inequality 3x - 5 < 7?

Back

Add 5 to both sides to isolate the term with x.

Front

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

Back

x > 4.

Front

If x + 4 ≤ 10, what is the maximum value of x?

Back

x ≤ 6.

Front

What does it mean if an inequality has no solution?

Back

It means that there are no values for the variable that can satisfy the inequality.