Find the solution for the inequality 3x - 5 ≥ 4.

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Question: Find the solution for the inequality 3x - 5 ≥ 4.

Options:

Correct Answer: x ≥ 3

Solution:

3x - 5 ≥ 4 => 3x ≥ 9 => x ≥ 3.

Find the solution for the inequality 3x - 5 ≥ 4.

Find the solution for the inequality 3x - 5 ≥ 4.

Correct Answer: x ≥ 3

Step 1: Start with the inequality: 3x - 5 ≥ 4.
Step 2: Add 5 to both sides of the inequality to isolate the term with x. This gives you: 3x - 5 + 5 ≥ 4 + 5.
Step 3: Simplify both sides. The left side becomes 3x and the right side becomes 9. So now you have: 3x ≥ 9.
Step 4: Divide both sides of the inequality by 3 to solve for x. This gives you: 3x / 3 ≥ 9 / 3.
Step 5: Simplify again. The left side becomes x and the right side becomes 3. So now you have: x ≥ 3.

Inequalities – Understanding how to manipulate and solve inequalities, including isolating the variable.
Algebraic Manipulation – Applying basic algebraic operations to both sides of the inequality.