Question

-7x + 13 > 41

The Solution to the Inequality is ________. A graph of the solution should have __________ and be shaded to the _____.

a) x < -4, an open circle at -4, right
b) x > -4, a closed circle at -4, right
c) x > 6, a closed circle at 6, left
d) x < 6, an open circle at 6, left

Answer 1

To solve the inequality -7x + 13 > 41, subtract 13 from both sides to isolate x. Then, divide by -7 and flip the inequality sign. The solution is x < -4, and the graph should have an open circle at -4 and be shaded to the left.

Step-by-step explanation:

To solve the inequality -7x + 13 > 41, we need to isolate x. Start by subtracting 13 from both sides of the inequality:

-7x + 13 - 13 > 41 - 13

-7x > 28

Next, divide both sides of the inequality by -7. Remember, when dividing or multiplying by a negative number, you need to flip the inequality sign:

x < -4

The solution to the inequality is x < -4. The graph of the solution should have an open circle at -4 and be shaded to the left.