#9 Consider the expression 9x - 4b + 3. Select all of the statements below
1 answer:
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Answer:
Solution set = {-12, 12}
Step-by-step explanation:
Start by dividing both sides of the given equation by negative one, to get rid of the negative signs on both sides:
Now we consider the two possible cases:
1) The expression inside the absolute value symbol is a positive number, then :
and replacing it in the equation, this becomes:
which is our first answer.
2) The expression inside the absolute value symbol is a negative number, then :
and replacing it in the equation, this becomes:
which is our second possible answer.
Then the set of solutions is: {-12, 12}
Answer:
For the yes/no bit:
step 1: no
step 2: no
step 3: yes
step 4: yes
step 5: no
for the final answer bit: a = 2 3/5 (the last option)
Step-by-step explanation:
yes/no bit:
step 1 is wrong because she didn't multiply by -2
step 2 is wrong because she subtracted 1/2 instead of adding it
step 3 is correct because 6 - 1/2 = 11/2
step 4 is correct because she correctly multiplied both sides by 4
step 5 is wrong because she added 5 instead of dividing by -5.
for the final answer bit, I've attached an image below with my working out. hope this helps!
