Question

You do not need to flip the inequality sign when solving the inequality -3 t + 7 ≥ 9.

true or false?

Answer 1

For this case we must resolve the following inequality:

`-3t + 7 \geq9`

Subtracting 7 from both sides of the inequality we have:

`-3t \geq9-7\\-3t \geq2`

Dividing by 3 to both sides of the inequality we have:

`-t \geq \frac {2} {3}`

We multiply by -1 on both sides, taking into account that the sense of inequality changes:

`t \leq- \frac {2} {3}`

Thus, it is observed that to solve the inequality it is necessary to change the meaning of it.

ANswer:

False. It is necessary to change the sense of inequality