How do you solve $–5x – 7 < 28$ ?

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Answer 1 · 2015-08-13T00:38:28

Get rid of the constant first, then the coefficient.

Let's look at the equation.

$-5x-7 < 28$

We want to solve this inequality step by step.

First, get rid of the constant. In this case, it would be the $7$ . We can do this by adding 7 to both sides.

$-5x < 35$

Looks a lot easier now! We just multiply both sides by $-5$ to get the answer.

There's a catch, though. When you multiply both sides of an inequality by a negative coefficient, you have to flip the inequality. So,

$-5x < 35$
becomes,
$x > -7$

which is the answer.

How do you solve –5x – 7 < 28 –5x – 7 < 28?