Hi. I have the answer and have worked this out. I just want to make sure I'm correct. I must solve using addition and multiplication principles. 8x + 2 -7x (greater then or equal to sign here) 14.
I know I am to collect like terms first so, 1x+2 = 14; 1x+2-2(greater then or equal to sign) 14 - 2.
Final answer. 1x/1 (sign here) 12/1 = 12/1. I'm not sure of the final answer. Thank you!
Absolutely right!
thank you! :)
To solve the inequality 8x + 2 - 7x ≥ 14 using the addition and multiplication principles, follow these steps:
1. Collect like terms:
Combine the x terms and the constant terms separately.
8x - 7x + 2 ≥ 14
(x is a like term, and 8x - 7x = x)
2. Simplify both sides of the inequality:
x + 2 ≥ 14
3. Move the constant term to the other side of the inequality:
x ≥ 14 - 2
4. Simplify the right side of the inequality:
x ≥ 12
So the inequality is x ≥ 12. This means that any value of x that is greater than or equal to 12 would satisfy the inequality.
Regarding your final answer, you correctly simplified the inequality to x/1 ≥ 12/1, but please note that this can be simply written as x ≥ 12. The notation x/1 = x doesn't change the meaning of the inequality.