MATHEMATICS

JAMB 2015 - Question 2

Mathematics 2015 JAMB Past Questions - Question 2: Solve the inequality 1/2x+1/3>1/3x+1

Solve the inequality 1/2x+1/3>1/3x+1
A:
B:
C:
D:
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Correct Answer

C

Explanation

1/2x+1/3>1/3x+1=1/2x-1/3x>1/1-(-1/3)3x-2x >3-1 =x/6>2/3 =x>4 6 3To solve the inequality (1/2)x + (1/3) > (1/3)x + 1, we can start by simplifying the expression:(1/2)x + (1/3) > (1/3)x + 1First, let's get rid of the fractions by multiplying every term by 6 (the least common multiple of 2 and 3):6 * [(1/2)x] + 6 * (1/3) > 6 * [(1/3)x] + 6 * 13x + 2 > 2x + 6Now, let's isolate the x term by subtracting 2x from both sides:3x - 2x + 2 > 6x + 2 > 6Finally, subtract 2 from both sides to solve for x:x > 4So the solution to the inequality is x > 4.