Mathematics

Mathematics

Problem

Rahul tried to check whether x=1.5x = 1.5 is a solution of 4x−0.8=5.24x - 0.8 = 5.2 as shown below: Step I: 4(1.5)−0.8=5.24(1.5) - 0.8 = 5.2 Step II: 6−0.8=5.26 - 0.8 = 5.2 Step III: 6−0.8=4.46 - 0.8 = 4.4 Step IV: 4.4=5.24.4 = 5.2 Which option best describes Rahul’s work? a) He made an error in Step II; 4(1.5)4(1.5) equals 5.25.2, so the equation balances. b) He made an error in Step III; 6−0.86-0.8 equals 5.25.2, so x=1.5x = 1.5 is a solution. c) He made an error in Step IV; he should have written 4.4≠5.24.4 \neq 5.2, so x=1.5x = 1.5 is not a solution. d) Both Steps II and III are incorrect; therefore x=1.5x = 1.5 cannot satisfy the equation.

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