Question

Solve for x your answer must be simplified.
−7x>10

Answer 1

$x< \frac{-10}{7}$

Solution:

Given inequality is –7x > 10.

To reduce this inequality to solve for x.

⇒ –7x > 10

Multiply by –1 on both sides of the inequality to reverse the expression.

⇒ –7x × (–1) < 10 × (–1)

⇒ 7x < –10

To simplify the expression, divide by 7 on both sides of the expression.

⇒ $\frac{7}{7}x< \frac{-10}{7}$

⇒$x< \frac{-10}{7}$

Hence $x< \frac{-10}{7}$.