I wrote a question before but the greater than or equal to sign cameout as something else, so here is the question
3/4x>1/4x+8
I did -1/4 x to each side to get
2/4x>8
4/1*2/4x>8/1*4/12/2x>8/1*4/1
x>16
The question uses> with the line under it, making it greater than or equal to but my computer won't allow me to underline the> sign.
I believe I did this correctly but just wanted to double check it.
Thanks B
3x/4 >= x/4+8.
Multiply both sides by 4:
3x >= x+32
2x >= 32
X >= 16.
To solve the inequality 3/4x > 1/4x + 8, you followed the correct steps up until the point where you get 2/4x > 8. However, let's go through the correct solution:
1. Start with the original inequality: 3/4x > 1/4x + 8
2. To simplify the equation, subtract 1/4x from both sides: 3/4x - 1/4x > 1/4x + 8 - 1/4x
This simplifies to: 2/4x > 8
3. Simplify further by reducing the fraction 2/4. Since the numerator and denominator are divisible by 2, it becomes 1/2: 1/2x > 8
4. To isolate x, divide both sides by 1/2: (1/2x)/(1/2) > (8)/(1/2)
This simplifies to: x > 16
Therefore, the correct solution is x > 16, where x represents any number greater than 16. This means that x can be 17, 18, 19, etc., but not including 16.