Question

1. thirty subtracted from four times a number is greater than the opposite of ten.

Explanation:

Step1: Define the unknown number

Let the number be $x$.

Step2: Translate to inequality

Four times the number: $4x$. Thirty subtracted from it: $4x - 30$. Opposite of ten: $-10$. So:
$4x - 30 > -10$

Step3: Isolate the variable term

Add 30 to both sides:
$4x - 30 + 30 > -10 + 30$
$4x > 20$

Step4: Solve for x

Divide by 4 on both sides:
$\frac{4x}{4} > \frac{20}{4}$
$x > 5$

Answer:

$x > 5$ (where $x$ represents the unknown number)