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MATHEMATICS

JAMB 2013 - Question 16

Mathematics 2013 JAMB Past Questions - Question 16: Evaluate 3(x+2)>6(x+3)

Evaluate 3(x+2)>6(x+3)

A: x<-4

B: x>4

C: x<4

D: x>-4

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Correct Answer

Explanation

3(x+2) > 6(x+3)3x +6 > 6x +183x -6x > 18-6-3x >12-3x /-3 < 12/-3therefore x < -4To evaluate the inequality 3(x + 2) > 6(x + 3), we can simplify and solve for x.First, let's distribute the terms inside the parentheses:3x + 6 > 6x + 18Next, let's rearrange the terms to isolate the variable x on one side of the inequality:3x - 6x > 18 - 6Simplifying further:-3x > 12Now, we need to divide both sides of the inequality by -3. However, since we are dividing by a negative number, we need to reverse the inequality sign:x < 12 / -3Simplifying the right side:x < -4Therefore, the solution to the inequality 3(x + 2) > 6(x + 3) is x < -4.