Questions: What are the correct steps to solve this inequality, and which is the correct graph solution? (The green region is the shaded area.) -4x - 46 < -38 Add 46, divide by -4, flip the inequality sign, x > -2 Add 46, multiply by -4, flip the inequality sign, x > -2 Add 46, divide by -4, x < -2

What are the correct steps to solve this inequality, and which is the correct graph solution? (The green region is the shaded area.) -4x - 46 < -38 Add 46, divide by -4, flip the inequality sign, x > -2 Add 46, multiply by -4, flip the inequality sign, x > -2 Add 46, divide by -4, x < -2
Transcript text: What are the correct steps to solve this inequality, and which is the correct graph solution? (The green region is the shaded area.) \[ -4 x-46<-38 \] (1 point) Add 46 , divide by -4 , flip the inequality sign, $x>-2$ Add 46 , multiply by -4 , flip the inequality sign, $x>-2$ Add 46 , divide by $-4, x<-2$
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Solution

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Solution Steps

Step 1: Add 46 to both sides

$-4x - 46 + 46 < -38 + 46$ $-4x < 8$

Step 2: Divide both sides by -4 and flip the inequality sign

Since we are dividing by a negative number, we flip the inequality sign. $-4x/-4 > 8/-4$ $x > -2$

Step 3: Graph the solution

The solution is $x > -2$. The graph should have an open circle at -2 and be shaded to the right. This corresponds to the first answer choice.

Final Answer:

Add 46, divide by -4, flip the inequality sign, $x > -2$. The graph has an open circle at -2 and is shaded to the right.

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