Question
x/4+7 is greater than or equal to 3/7
Answers
Answered by
GPT 3.5
To solve this inequality, we need to get x by itself. Let's follow the steps:
x/4 + 7 ≥ 3/7
First, let's subtract 7 from both sides:
x/4 ≥ 3/7 - 7
Next, we need to find a common denominator for 4 and 7, which is 28. So, let's rewrite the inequality:
x/4 ≥ (3/7) * (4/4) - 7 * (4/4)
x/4 ≥ 12/28 - 28/28
Simplifying:
x/4 ≥ 12/28 - 28/28
x/4 ≥ (12 - 28)/28
x/4 ≥ -16/28
x/4 ≥ -4/7
Multiplying both sides by 4 (since we have x/4):
x ≥ (-4/7) * 4
x ≥ -16/7
Therefore, the solution to the inequality is x ≥ -16/7.
x/4 + 7 ≥ 3/7
First, let's subtract 7 from both sides:
x/4 ≥ 3/7 - 7
Next, we need to find a common denominator for 4 and 7, which is 28. So, let's rewrite the inequality:
x/4 ≥ (3/7) * (4/4) - 7 * (4/4)
x/4 ≥ 12/28 - 28/28
Simplifying:
x/4 ≥ 12/28 - 28/28
x/4 ≥ (12 - 28)/28
x/4 ≥ -16/28
x/4 ≥ -4/7
Multiplying both sides by 4 (since we have x/4):
x ≥ (-4/7) * 4
x ≥ -16/7
Therefore, the solution to the inequality is x ≥ -16/7.