Question

Basic algebraic inequalities (L2)

Select the values that make the inequality minus, p, ≥, 4−p≥4 true.
Then write an equivalent inequality, in terms of pp.
(Numbers written in order from least to greatest going across.)

Answer 1

The inequality -p ≥ 4 - p is true for all values of p as 0 is always less than 4. An equivalent inequality in terms of p is p ≥ p or p ≤ p, as it holds true for all p.

Step-by-step explanation:

To find the values of p that make the inequality -p ≥ 4 - p true, let's solve the inequality:

First, add p to both sides of the inequality to get 0 ≥ 4.

Since 0 is always less than 4, the inequality is true for all values of p, meaning there is no restriction on p.

Now let's rewrite the original inequality in terms of p. As we found that this inequality holds for all p, the equivalent inequality in terms of p is actually a trivial statement; we can say that p ≥ p or p ≤ p.