Question

Solve the inequality given below. -2x – 4 < 22

Answer 1

The solution to the inequality is x > -13.

Let's begin. First, we need to find a way to isolate our x. Once our x is isolated, we'll be able to see its value.

Our inequality is :

⇒
`\sf{-2x-4 < 22}`

First, add 4 to both sides, like this :

⇒
`\sf{-2x < 22+4}`

⇒
`\sf{-2x < 26}`

Divide both sides by -2 :

⇒
`\sf{x > -13}` {and reverse the sign as a result of dividing both sides by a negative number}

The solution is x > -13.

Answer 2

x > -13

Explanation:

To solve the inequality -2x – 4 < 22, you need to isolate x on one side of the inequality sign. You can do this by adding 4 to both sides and then dividing by -2. Remember to flip the inequality sign when you divide by a negative number. The final answer is x > -13. You can check your answer by plugging in different values of x and seeing if the inequality is true or false.

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!