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If -3x+17 lt -13, then...

If `-3x+17 lt -13`, then

A

`x in (10, infty)`

B

`x in [10, infty)`

C

`x in (-infty, 10]`

D

`x in [-10, 10)`

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The correct Answer is:
To solve the inequality \(-3x + 17 < -13\), we will follow these steps: ### Step 1: Isolate the term with \(x\) We start with the inequality: \[ -3x + 17 < -13 \] We will move \(17\) to the right-hand side by subtracting \(17\) from both sides: \[ -3x < -13 - 17 \] ### Step 2: Simplify the right-hand side Now, simplify the right-hand side: \[ -3x < -30 \] ### Step 3: Divide by -3 Next, we divide both sides by \(-3\). Remember that when we divide by a negative number, we must reverse the inequality sign: \[ x > 10 \] ### Final Result The solution to the inequality is: \[ x > 10 \] This means \(x\) can take any value greater than \(10\).
To solve the inequality \(-3x + 17 < -13\), we will follow these steps: ### Step 1: Isolate the term with \(x\) We start with the inequality: \[ -3x + 17 < -13 \] We will move \(17\) to the right-hand side by subtracting \(17\) from both sides: ...
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