Unlock Two-Step Inequalities with Ease

Master inequalities of the form ax + b ? c. Our solver provides clear steps and visual number lines to make learning fun and effective.

Enter the Inequality

Solution:

Visual Representation on Number Line

Understanding Two-Step Inequalities

Two-step inequalities are algebraic expressions that require two operations to solve for the unknown variable. They combine multiplication or division with addition or subtraction. Solving them involves isolating the variable to determine the range of values that satisfy the inequality.

Example:

For the inequality 3x - 5 ≥ 4, we first add 5 to both sides to get 3x ≥ 9. Then, dividing both sides by 3 gives us the solution x ≥ 3.

Steps to Solve:

  • Identify the two operations in the inequality.
  • Use inverse operations to isolate the term with the variable. First, address addition or subtraction.
  • Apply the inverse operation to both sides of the inequality to maintain balance.
  • Next, address multiplication or division to fully isolate the variable.
  • Remember to reverse the inequality sign if you multiply or divide by a negative number.
  • The solution represents all values of the variable that satisfy the original inequality.

For further learning, explore algebra resources and practice solving various two-step inequalities.