Question

Solve: 4(-x-3) -4>-2

Answer 1

x < -3.5 or x < -7/2

Explanation:

We can solve the inequality by solving for and isolating x:

`4(-x-3)-4 > -2\\-4x-12-4 > -2\\-4x-16 > -2\\-4x > 14\\\\x < -7/2\\or\\x < -3.5`

We can check that our solution is correct by plugging in a number less than -3.5 for x like -4:

`4(-(-4)-3)-4 > -2\\4(4-3)-4 > -2\\4(1)-4 > -2\\4-4 > -2\\0 > -2`

The inequality is true for any value of x less than -3.5 so the answer is correct