Math  /  Algebra

Question Find the error in the given step-by-step calculations: 5x472<38,10x+28<3,10x<31,x<3110-\frac{5x}{4}-\frac{7}{2}<-\frac{3}{8}, 10x+28<-3, 10x<-31, x<-\frac{31}{10}. The error occurred from line (1) to line (2).

Studdy Solution
Comparing this with line (2), we see that line (2) is 10x+28<310x +28 < -3, which is not the same as 10x28<3-10x -28 < -3. So, the error occurred from line (1) to line (2).
The error is that when multiplying or dividing an inequality by a negative number, the direction of the inequality should be reversed. Here, 8-8 was multiplied to all terms, so the inequality should have been reversed.

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