Solving the Inequality -2x < 8

Solve −2x<8 .(1 point) Responses

x<4 x<4

x>−4 x is greater than negative 4

x<−4 x<−4

x>4 x is greater than 4

To solve the inequality (-2x < 8), follow these steps:

1. Divide both sides by (-2). Remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign.

[ x > \frac{8}{-2} ]

2. Simplifying the right side gives:

[ x > -4 ]

So the solution is:

x is greater than negative 4 (or (x > -4)).