A system f (x) ≥ a, f (x) ≤ b, where the same expression appears on both inequalities, is commonly referred to as a “double” inequality and is often written in the form a ≤ f (x) ≤ b. … Also a must be less than or equal to b in the inequality a ≤ f (x) ≤ b or b ≥ f (x) ≥ a.

Can you multiply 2 inequalities together?

These are two inequalities which are equivalent inequalities. In general, multiplying (or dividing, which is really a form of multiplying) an inequality by a POSITIVE real number, where both sides of the inequality are multiplied by the SAME number, will produce an equivalent inequality.

Which is a correct first step in solving the inequality?

Answer: The first step in solving the given inequality is to use the distributive property and open the brackets, that is, -8x + 4 > 5 – 3x.