Question

One student solved the inequality −4 > x −7 and got 28 < x. Another student solved the inequality and got x > 28. Are they both correct? Explain.

Answer 1

Answer:

yes

Step-by-step explanation:

when x and 28 exchange it's place the sign of calculation also being inverted.

Answer 2

Answer:

Yes , both are correct. We can write x > 28 or 28 < x, both have same meanings.

Step-by-step explanation:

• Given

$- 4 > \frac{x}{ - 7}$

• Solving the Inequality

1) Multiple 7 on both the sides

$( - 4)7 > \frac{x}{ - 1}$

2) Multiple by minus, When we multiple by minus on both the sides of a inequality, the sign of inequality gets changed.

$- ( - 28) < x$

$28 < x$

so we got 28 < x

So 28< x is correct, now we have to show that 28< x and x > 28 both are same and correct.

• 28 < x implies that 28 is less than x, this implies that x is greater than 28 and this can be symbolic represented as x > 28
• Thus both inequality have the same meaning. When two sides of inequality changes their place, the sign of inequality also changes.

Thus x>28 and 28<x both are same and correct.