When u = 17, solving -u + 4 ≥ -3:
1. Substitute: -17 + 4 ≥ -3.
2. Simplify to -13 ≥ -3, true.
Therefore, u = 17 satisfies the inequality, showing -u + 4 ≥ -3 holds true.
Let's reevaluate the inequalities to confirm the correct one when u = 17:
a) -u + 4 ≥ -3
-17 + 4 ≥ -3
-13 ≥ -3 (This is true)
b) u + 4 ≤ -3
17 + 4 ≤ -3
21 ≤ -3 (This is not true)
c) -u + 4 < 3
-17 + 4 < 3
-13 < 3 (This is true)
d) -u + 4 ≥ 3
-17 + 4 ≥ 3
-13 ≥ 3 (This is not true)
Upon re evaluation, it's clear that the correct inequality when u = 17 is:
a) -u + 4 ≥ -3
And as correctly pointed out in your assessment:
c) -u + 4 < 3 is also true when u = 17.