Solve the inequality 2x - 3 < 5.

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Question: Solve the inequality 2x - 3 < 5.

Options:

Correct Answer: x < 4

Solution:

2x - 3 < 5 => 2x < 8 => x < 4.

Solve the inequality 2x - 3 < 5.

Solve the inequality 2x - 3 < 5.

Step 1: Start with the inequality: 2x - 3 < 5.
Step 2: Add 3 to both sides of the inequality to isolate the term with x. This gives you: 2x - 3 + 3 < 5 + 3.
Step 3: Simplify both sides. The left side becomes 2x and the right side becomes 8. So now you have: 2x < 8.
Step 4: Now, divide both sides of the inequality by 2 to solve for x. This gives you: 2x / 2 < 8 / 2.
Step 5: Simplify again. The left side becomes x and the right side becomes 4. So now you have: x < 4.

Inequalities – Understanding how to manipulate and solve inequalities involving linear expressions.
Algebraic Manipulation – Applying algebraic operations to isolate the variable and solve for its value.