Question

Which work correctly uses properties of inequality to find the solution to –0. 4x – 10 > 14? –0. 4x – 10 > 14 –0. 4x > 4 x > –10 –0. 4x – 10 > 14 –0. 4x > 24 x > –60 –0. 4x – 10 > 14 –0. 4x > 4 x < –10 –0. 4x – 10 > 14 –0. 4x > 24 x < –60.

Answer 1

The second work correctly uses properties of inequality to find the solution to –0.4x – 10 > 14:

- Subtracting 10 from both sides of the inequality gives: -0.4x > 24
- Dividing both sides by -0.4 (and reversing the inequality because we are dividing by a negative number) gives: x < -60

Therefore, the solution to the inequality –0.4x – 10 > 14 is x < -60.

Answer 2

The correct work that uses properties of inequality to find the solution to the inequality –0.4x – 10 > 14 is:

–0.4x – 10 > 14

We can start by adding 10 to both sides of the inequality:

–0.4x – 10 + 10 > 14 + 10

Simplifying, we have:

–0.4x > 24

Now, we divide both sides of the inequality by –0.4. Since we are dividing by a negative number, we need to reverse the inequality:

(–0.4x) / (–0.4) < 24 / (–0.4)

Simplifying further, we get:

x < –60

Therefore, the correct solution to the inequality –0.4x – 10 > 14 is x < –60.