Kari followed the steps below to solve for x in the inequality 6x + 3 > 4x - 21.
Step 1: 6x - 4x + 3 > 4x - 4x -21
Step 2: 2x+ 32-21
2x + 3-3-21-3
Step 4:
2x -24
2x
Step 5:
-24
2
2 2
Step 6:
x>-12
Step 3:
Which property can be used to justify the inequality written in step 2?

Carbon- 14 is a radioactive form of carbon found in all living plants. after a plant dies, the carbon- 14 disintegrates. samples of similar living plants are used to determine the age of the remains. the amount of carbone-14 present after t years is given by the exponential equation n(t) = noe where no is the initial amount of carbon-14. the half-life of carbone-14 is 5600 years. charcoal from an ancient fire pit contains one third of earbon-14 found in similar living wood of the same size. find the age of the charcoal half-life is the time required for a quantity to reduce to half its initial amount