Question

Solve for xxx. Your answer must be simplified. -30<\dfrac x{-4}−30< −4 x ​ minus, 30, is less than, start fraction, x, divided by, minus, 4, end fraction

Answer 1

`x<120`

Explanation:

We have been given an inequality
`-30<(x)/(-4)`. We are asked to solve the given inequality.

To solve for x, we will multiply both sides of inequality by negative 4. When we multiply or divide both sides of an inequality, the inequality sign reverses.

`-30\cdot (-4)>(x)/(-4)\cdot (-4)`

`120>x`

This means that 120 is greater than x or x is less than 120.

`x<120`

Therefore, our required inequality would be
`x<120`.