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MATHEMATICS

JAMB 2002 - Question 17

Mathematics 2002 JAMB Past Questions - Question 17: Find the range of values of x for which x+2/4 -2x-3/3

Find the range of values of x for which x+2/4 -2x-3/3 <4

A: x > - 6

B: x>-3

C: x<8

D: x<4

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Correct Answer

Explanation

To solve the inequality x + 2/4 - 2x - 3/3 < 4, we can simplify the expression and solve for x:x + 1/2 - 2x - 1 < 4Combining like terms:-x - 1/2 < 4To isolate x, we can multiply both sides of the inequality by -1 (and reverse the inequality sign since we are multiplying by a negative number):x + 1/2 > -4Subtracting 1/2 from both sides:x > -4 - 1/2x > -8/2 - 1/2x > -9/2Therefore, the range of values for x that satisfy the inequality x + 2/4 - 2x - 3/3 < 4 is x > -9/2.