Answer:
See explanation
Step-by-step explanation:
1. R is the set of all integers with absolute value less than 10, thus

2. A is its subset containing all natural numbers less than 10, thus

3. B is the set of all integer solutions of inequality 2x+5<9 that are less than 10 by absolute value (and therefore, it is also a subset of R). First, solve the inequality:

Thus,

See the diagram in attached diagram.
Note that

The answer is A because all the other answers don’t use the cooperative denominators
Answer:
a>−6
Step-by-step explanation:
−4(1−5a)>−124
Step 1: Simplify both sides of the inequality.
20a−4>−124
Step 2: Add 4 to both sides.
20a−4+4>−124+4
20a>−120
Step 3: Divide both sides by 20.
20a/20> −120/20
a>−6