Question

Which represents the solution set to the inequality ? -1.5(4x+1) less than or equal sign to 4.5-2.5(x+1)

i need to know the way you solve it the properties you apply, distribution, combination, etc.
also less than or equal to is a sign i just can't show the sign i have to type it. < this sign with the bar on the bottom.
need help asap.

Answer 1

answer: x ≥-1

Steps:
1. distribute -1.5 and -2.5
2. combine like terms
3. move like terms to the same side
4. divide by -3.5x on both sides
5. you get your answer. (since you divide by a negative the symbol changes)


-1.5 (4x+1) ≤ 4.5-2.5 (x+1)
1. -6x-1.5 ≤ 4.5-25x-2.5
2. -6x-1.5 ≤ 2-2.5x
3. -6x+ 2.5x ≤ 2+ 1.5
4. -3.5x ≤ 3.5
5. x ≥ -1