Solving Multi-Step Linear Inequalities

What is the first step in solving a two-step equation?

• Subtract the variable term from both sides

• Divide both sides by the variable term

• Multiply both sides by a constant

• Identify the variable terms and constants

When solving the inequality -6X < -6, what must you do after dividing both sides by -6?

• Subtract 6 from both sides

• Keep the inequality the same

• Reverse the inequality

• Add 6 to both sides

In the inequality X > 1, how should the graph be represented?

• Shade to the left with an open circle at 1

• Shade to the right with a closed circle at 1

• Shade to the right with an open circle at 1

• Shade to the left with a closed circle at 1

When solving inequalities with variables on both sides, what is one of the choices you have?

• Subtract the constant from both sides

• Collect variable terms on the left

• Multiply both sides by the variable term

• Divide both sides by the constant

What is the result of solving 2N - 3 > 6?

• N < 9/2

• N > 9/2

• N < 3

• N > 3

Why is it easier to have the variable term on the left when graphing?

• It avoids negative coefficients

• It eliminates the need for inverse operations

• It makes the graphing process more straightforward

• It simplifies the equation

What is the first step in the multi-step checklist for solving inequalities?

• Graph the solution

• Combine like terms

• Use the distributive property

• Apply inverse operations

In the inequality 29R + 20 ≤ -9R + 15, what should be done after combining like terms?

• Divide both sides by the constant

• Move variable terms to one side

• Apply the distributive property

• Add the constants to both sides

What happens to the inequality when you divide both sides by a negative number?

• The inequality remains the same

• The inequality is reversed

• The variable term is eliminated

• The constant term is eliminated

What is the final solution for the inequality 38R ≤ -5?

• R ≥ -5/38

• R ≥ 5/38

• R ≤ -5/38

• R ≤ 5/38