Solve linear inequality

1 In this question you must show detailed reasoning. Andrea is comparing the prices charged by two different taxi firms.
Firm A charges \(\pounds 20\) for a 5 mile journey and \(\pounds 30\) for a 10 mile journey, and there is a linear relationship between the price and the length of the journey.
Firm B charges a pick-up fee of \(\pounds 3\) and then \(\pounds 2.40\) for each mile travelled.
Find the length of journey for which both firms would charge the same amount.

Solve the inequality \(2(x - 3) < 6x + 15\). [3]

Solve the inequality \(\frac{3(2x + 1)}{4} > -6\). [4]

Solve the inequality \(6(x + 3) > 2x + 5\). [3]