Question

# Insert one of the symbols << of >> to make the following statements true. a) If x >>, then x + 8 ___ 3. b) If x >> -3, then -5x + 18 ___ 3.

Probability and combinatorics
Insert one of the symbols << of >> to make the following statements true.
a) If $$\displaystyle{x}\rangle$$, then x + 8 ___ 3.
b) If $$\displaystyle{x}\rangle-{3}$$, then -5x + 18 ___ 3.

2021-05-02
We rewrite the inequality so that it matches the left side of the "then" part.
a)By adding 8 to each side, we have: x+8>5+8
x+8>13
So, insert>.
b)Multiply both sides by -5. Recall that when we multyply of divide both sides of an inequality by a negative number, we change the direction of the inequality: -5x
Add 18 to both sides: -5x+18
So, insert <.