Given: \( 4-\angle x<16 \) where \( x \in \AA \) 2.1.1 Solve the inequality. 2.12 Hence, represent your answer to QUESTION 2.1.1 on a number line. Solve simultaneously for \( x \) and \( y \) : \[ -2 x-y=10 \text { and } 3 x-4 y=-4 \] Solve for \( x \) : \( 2.3 .1 \quad \frac{x(x-5)}{6}-1=0 \) \( 232 \quad e=\sqrt{a+2 x} \) Tabelo is currently four times as old as his daughter, Linda. Six years from now, Tahelo will be throc times as old as Linda. Colculate Linda'r age currently.

First, let's tackle the inequality \( 4 - \angle x < 16 \): 1. Rearranging gives \( -\angle x < 12 \). 2. Thus, \( \angle x > -12 \). Now, regarding the graphical representation, you would draw a number line, placing an open circle on -12 and shading everything to the right, indicating all values of \( \angle x \) that satisfy the inequality. Next, solving the simultaneous equations: 1. From \( -2x - y = 10 \), we get \( y = -2x - 10 \). 2. Substituting into \( 3x - 4y = -4 \) gives: \[ 3x - 4(-2x - 10) = -4 \implies 3x + 8x + 40 = -4 \implies 11x = -44 \implies x = -4 \] 3. Plugging back to find \( y \): \[ y = -2(-4) - 10 = 8 - 10 = -2, \] So, \( (x, y) = (-4, -2) \). For Linda's age problem, let's define: - Let \( L \) be Linda's current age. - Then, Tahelo's current age is \( 4L \). In six years: - Tahelo's age: \( 4L + 6 \) - Linda's age: \( L + 6 \) From the problem, we have: \[ 4L + 6 = 3(L + 6). \] Solving gives: \[ 4L + 6 = 3L + 18 \implies L = 12. \] Thus, Linda's current age is 12.