Question

-10 x divided by 4 +5 is greater than of equal to 7x-5 divided by 3

Answer 1

`x \le (40)/(29)`

Explanation:

We are solving for x in the equation:

`-(10x)/(4) + 5 \ge (7x-5)/(3)`

First, we can multiply both sides by 12, or (3 × 4), the least common denominator of all of the fractions in the inequality:

`12\left(-(10x)/(4) + 5 \right)\ge 12\left((7x-5)/(3)\right)`

`-30x + 60 \ge 28x - 20`

Then, we can add 30x to both sides:

`60 \ge 58x-20`

Next, we can add 20 to both sides:

`80 \ge 58x`

Finally, we can divide both sides by 58:

`x \le (80)/(58)`

This fraction can be simplified:

`\boxed{x \le (40)/(29)}`