7x + 3 > 10
Responses
A x < 137
B x < 1
C x > 1
D x > 137
E x ≥ 1
Subtracting 3 from both sides:
7x > 7
Dividing both sides by 7:
x > 1
Answer: C) x > 1
To solve the inequality 7x + 3 > 10, follow these steps:
Step 1: Subtract 3 from both sides of the inequality:
7x + 3 - 3 > 10 - 3
7x > 7
Step 2: Divide both sides of the inequality by 7:
(7x)/7 > 7/7
x > 1
Therefore, the correct response is E, x ≥ 1.
To solve the inequality 7x + 3 > 10, you need to isolate the variable x on one side of the inequality sign.
1. Start by subtracting 3 from both sides of the inequality: 7x + 3 - 3 > 10 - 3.
This simplifies to 7x > 7.
2. Now, divide both sides of the inequality by 7 to solve for x: (7x) / 7 > 7 / 7.
This simplifies to x > 1.
So, the solution to the inequality 7x + 3 > 10 is x > 1.
Now let's analyze the given responses:
A. x < 137: This option is not related to the inequality given, so it can be eliminated.
B. x < 1: This is not the correct solution. The correct solution is x > 1.
C. x > 1: This is the correct solution. The correct answer is option C.
D. x > 137: This option is not related to the inequality given, so it can be eliminated.
E. x ≥ 1: This is not the correct solution. The correct solution is x > 1.
Therefore, the correct answer is option C: x > 1.