MATHEMATICS

JAMB 2018 - Question 5

Mathematics 2018 JAMB Past Questions - Question 5: Find the range of values of x for whichx+2 /4 -2x - 3 /3

Find the range of values of x for whichx+2 /4 -2x - 3 /3 <4
A:
B:
C:
D:
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Correct Answer

B

Explanation

x +2 /4 - 2x -3 /3 <43 (x+2) -4 (2x-3) < 4 x 12 < 483x +6 -8x +12 < 30-5x + 18 <48-5x < 48 - 18 < 30-x > - 30/5 >-6x > -6To solve the inequality (x + 2) / 4 - (2x - 3) / 3 < 4, we can follow these steps:Step 1: Find a common denominator for the fractions on the left-hand side. The common denominator for 4 and 3 is 12.Step 2: Rewrite the fractions with the common denominator.The inequality becomes:3(x + 2) / 12 - 4(2x - 3) / 12 < 4Step 3: Combine the fractions on the left-hand side.3(x + 2) - 4(2x - 3) < 48Step 4: Expand and simplify the inequality.3x + 6 - 8x + 12 < 48-5x + 18 < 48Step 5: Subtract 18 from both sides.-5x < 30Step 6: Divide by -5. Remember to reverse the inequality sign when dividing by a negative number.x > -6So, the range of values for x for which the inequality (x + 2) / 4 - (2x - 3) / 3 < 4 holds true is x > -6.