We are given : -3(4-6x) < x+5.
Solution: -3 is in front of Parenthesis.
We need to multiply -3 by (4-6x).
So, we need to applying distributive property.
On distributing, we get
-12+18x < x+5 (By distributive property)
The reverse operation of addition is subtraction. So we need to subtract x from both sides, we get
-12+18x-x < x-x+5 (By subtraction property of equality).
-12+17x < 5
Now, we need to get rid -12 from left side.
So, we need to apply addition property of equality, we need to add 12 on both sides, we get
-12+12+18x < x+5+12 (By addition property of equality)
17x < 17
We need to get rid 17 from left side. So we need to apply division property of equality.
On dividing both sides by 17, we get
17x/17 < 17/17 (By division property of equality)
x < 1.
Answer:
Step-by-step explanation:
3,000 yd3 = 200 dtl
Chapter 1: Problem Solving 17 / 21
Rates Question
12 A highway had a landslide, where 3,000 cubic yards of material fell on the road, requiring 200 dump truck loads to clear. On another highway, a slide left 40,000 cubic yards on the road. How many dump truck loads would be needed to clear this slide?
3,000 yd3 = 200 dtl
40,000 yd3 × 200 dtl = 2,667 dtl
3, 000 yd3
Answer:
x ≥ 12
Step-by-step explanation:
Step 1: subtract 2 from both sides
Now you have; -3/4 x ≤ -9
Step 2: divide both sides by -3/4
Now you have x ≥ 12
(when dividing an inequality by a negative you have to flip the sign)
Therefore the answer is x ≥ 12
