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

Jan 8, 2018

Solve it like a linear equation.
$x \ge 4$

#### 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.

$\therefore 15 - 2 x \le 7$
$\therefore$ $8 \le 2 x$
which is the same as $2 x \ge 8$

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

$\therefore$ the answer is $x \ge 4$

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