SOLUTION: Can someone please show me how to work these two examples?
0.9x + 6 ≤ 1.3x -3 The solution set should be {x|x __ __}
The second is -3 ≤ 3x-2 ≤ -1, the solution
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Question 221037: Can someone please show me how to work these two examples?
0.9x + 6 ≤ 1.3x -3 The solution set should be {x|x __ __}
The second is -3 ≤ 3x-2 ≤ -1, the solution set {x| __ ≤ x ≤ __}
I have been trying for hours to figure these and just can not seem to do so. Thank you.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1
Start with the given inequality.
Multiply both sides by 10 to clear out the decimals.
Distribute and multiply.
Subtract from both sides.
Subtract from both sides.
Combine like terms on the left side.
Combine like terms on the right side.
Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.
Reduce.
----------------------------------------------------------------------
Answer:
So the solution is
Which in decimal form is
So the answer in interval notation is [
)
Also, the answer in set-builder notation is 
================================================================
# 2
Start with the given compound inequality.
Add to all sides.
Combine like terms on the left side.
Combine like terms on the right side.
Divide all sides by 3.
So the solution is
So the answer in interval notation is [
]
Also, the answer in set-builder notation is 
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