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Question 8
Solve the inequality. 4(x - 3) < x (a) ............................................................... (b) Show your answer to part (a) on the number line.
Step 1
Answer
To solve the inequality, we start by distributing the 4 on the left side:
This expands to:
Next, we will isolate x by subtracting x from both sides:
This simplifies to:
Now, we will add 12 to both sides:
Next, we divide by 3:
Thus, the solution to the inequality is:
Answer: .
Step 2
Answer
To represent the solution on a number line:
This visually indicates all the numbers that are less than 4.
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