solve 1.7x _> 5.95

Question

X _> 10.115

x _> 3.5

X _> 7.65

Answer 1

To solve the inequality \(1.7x \geq 5.95\), we'll isolate \(x\).

1. Divide both sides of the inequality by 1.7: \[ x \geq \frac{5.95}{1.7} \]

2. Calculate: \[ \frac{5.95}{1.7} \approx 3.5 \]

So the solution to \(1.7x \geq 5.95\) is: \[ x \geq 3.5 \]

Now, let's summarize the results of all the inequalities you provided:

1. From \(1.7x \geq 5.95\), we have \(x \geq 3.5\).
2. The second inequality is \(x \geq 10.115\).
3. The third inequality is \(x \geq 3.5\) (which is redundant since it was already established).
4. The fourth inequality is \(x \geq 7.65\).

To combine these, we take the highest lower bound. The maximum of all lower bounds is: \[ x \geq 10.115 \]

Thus, the final result taking all inequalities into account is: \[ x \geq 10.115 \]