For what range of values of x is \( \frac{1}{2}x + \frac{1}{4} > \frac{1}{3}x + \frac{1}{2} \)?

Given that log 2 = 0.3010, log 7 = 0.8451. Evaluate log 112.

The 3rd term of an arithmetic progression is -9 and the 7th term is -29. Find the 10th term of the progression

At what rate will the interest on ₦400 increases to ₦24 in 3 years reckoning in simple interest?

Find r, if 6r78 = 5119

If \(x \ast y = x + y^2\), find the value of \((2 \ast 3) \ast 5\)

If \(p : q = \frac{2}{3} : \frac{5}{6}\) and \(q : r = \frac{3}{4} : \frac{1}{2}\), find \(p : q : r\)

Simplify \( \left(\frac{16}{81}\right)^{\frac{1}{4}} \div \left(\frac{9}{16}\right)^{-\frac{1}{2}} \)

Solve the inequality \( -6(x + 3) \le 4(x - 2) \)