Step 1: Distribute the 3 into the parentheses: 3 times x gives 3x, and 3 times -1 gives -3. So, we rewrite the inequality as 3x - 3 < 2x + 4.
Step 2: To get x by itself, we need to get rid of 2x on the right side. We do this by subtracting 2x from both sides. This gives us 3x - 2x - 3 < 4, which simplifies to x - 3 < 4.
Step 3: Now, we need to get rid of -3 on the left side. We do this by adding 3 to both sides. This gives us x < 4 + 3, which simplifies to x < 7.
Inequalities – The question tests the ability to solve linear inequalities by manipulating algebraic expressions.
Distributive Property – The question requires the application of the distributive property to simplify the inequality.
Isolating Variables – The question assesses the skill of isolating the variable on one side of the inequality.
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