Question

How do you solve the inequality `15-2x<=7`?

Answer 1

Solve it like a linear equation.
`x>=4`

Explanation:

We know that to solve a linear inequality we solve it like a linear equation, with the only difference being when we divide or multiply by a negative, we flip the inequality sign.

`therefore 15-2x <= 7`
`therefore` `8<= 2x`
which is the same as `2x>=8`

Now we simply divide by the coefficient, in this case 2.

`therefore` the answer is `x>=4`

This is saying when `x` is greater than or equal to `4` this inequality is true.