Question

7 - 4a < 3a
are there any solutions to the set?

Answer 1

Our answer is a > 1.

`\Large\texttt{Explanation}`

We are asked to solve the following inequality:

`\bullet\quad\sf{7-4a < 3a}`

Rearrange:

`\bullet\quad\sf{3a > -4a+7}`

↬ Add 4a to both sides:

`\bullet\quad\sf{3a+4a > 7}`

`\bullet\quad\sf{7a > 7}`

↬ Divide both sides by 7:

`\bullet\quad\sf{a > 1}`

↬
`\therefore` our answer is a > 1

Answer 2

7<3a+4a

7<7a

1<a

hence a>1