solve:%0A3.5x%C2%A0%E2%89%A4%2019.6%0A%0A*%0A2%20points%0Ax%20%E2%89%A4%2068.6%0Ax%20%E2%89%A4%2016.1%0Ax%20%E2%89%A4%2023.1%0Ax%20%E2%89%A4%205.6
To solve the inequality 3.5x ≤ 19.6, we will divide both sides of the inequality by 3.5:
x ≤ 19.6/3.5
x ≤ 5.6
Now, we will consider each point mentioned and find the maximum value for x.
For the first point, x ≤ 68.6:
Since x ≤ 5.6, which is less than 68.6, the first point does not impose any additional restrictions on x.
For the second point, x ≤ 16.1:
Since x ≤ 5.6, which is less than 16.1, the second point does not impose any additional restrictions on x.
For the third point, x ≤ 23.1:
Since x ≤ 5.6, which is less than 23.1, the third point does not impose any additional restrictions on x.
Lastly, for the fourth point, x ≤ 5.6:
This is the same inequality that we derived from the first step, x ≤ 5.6. Therefore, the fourth point does not impose any additional restrictions on x.
In conclusion, the maximum value for x considering all the given points is x ≤ 5.6.