Question

Hello could you please help me with question number 29?

Answer 1

29.

The inequality is given as,

`-7f>5`

Dividing both sides by the same positive number does not affect the inequality.

So we divide both sides by 7,

`\begin{gathered} -7f\cdot(1)/(7)>5\cdot(1)/(7) \\ -f>(5)/(7) \end{gathered}`

Multiplying both sides by a negative number reverses the inequality, so we multiply both sides by -1,

`\begin{gathered} -f\cdot(-1)<(5)/(7)\cdot(-1) \\ f<(-5)/(7) \end{gathered}`

The inequality obtained is a strict inequality in one variable. Being a strict inequality, the end-point will not be included in the solution.

Then the solution of the inequality on the number line is obtained as,

Thus, the graph of the solution of the given inequality is obtained.