8+6=14, so the equation is now "3l is greater than or equal to 14". We added 6 on the left, so we now need to add 6 on the right, which currently contains an 8. However, as I said earlier, we need to change on the right what we changed on the left. We want to get rid of that 6, so we need to add 6, because -6+6 is 0, and no one cares about zeros, so the left side is now just 3l. There is, however, a negative number, giving us the chance to add. However, the left side is 3l-6, so there are no positive numbers. If the side containing l had any positive numbers, we would subtract their value, thus turning the left side into 3l+0, eliminating that number that is now a zero from the left side and thus making it 3l. There's nothing to subtract, because we want just l on the left side and just a number on the right. Now, in the case of this equation, let's do SADMEP. If you add 3 to one side, then 13=10, and it simply doesn't work that way, so you need to make the same change to the other side as well, so 13=13, because it does. However, when you make a change, you want to change both sides of the equation to keep it the same. In the case of changing both sides of an equation, you do it in the opposite order, aka SADMEP. First you simplify anything with Parantheses, then Exponents, then Multiplication or Division, and finally Addition or Subtraction. You've probably heard of PEMDAS, which is the order of operations in what to do in solving multistep problems. The goal is to isolate l and find what it must be greater than or equal to while still keeping the equation the same by changing things on both sides to make it clear what l is greater than or equal to. I'll try and explain why he took the steps he did:įirst of all, the equation is that 3 times l, minus 6, is greater than or equal to 8.
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