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klemol [59]
2 years ago
15

A student concluded that the inequality −3+2y≤4x is equivalent to the inequality y≥2x+32, as shown below. Describe and correct t

he student’s error.
Mathematics
1 answer:
timofeeve [1]2 years ago
5 0

Answer:

-3 +2y \leq 4x

2y \leq 4x+3

y \leq 2x + \frac{3}{2}

And that's different from the claim of the student that:

y \geq 2x +\frac{3}{2}

The error of the student is that he/she changes the sign of the inequality from \leq to \geq and that's not possible since we don't multiply both sides of the equation by -1

Step-by-step explanation:

For this case we have the following inequality:

-3 +2y \leq 4x

We want to rewrite the last expression with y in the left and x in the right so we can begin adding 3 in both sides of the inequality and we got:

2y \leq 4x+3

Now we can divide both sides of the inequality by 2 and we got:

y \leq 2x + \frac{3}{2}

And that's different from the claim of the student that:

y \geq 2x +\frac{3}{2}

The error of the student is that he/she changes the sign of the inequality from \leq to \geq and that's not possible since we don't multiply both sides of the equation by -1

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