−2(−2x−2)<2x−6−2(−2𝑥−2)<2𝑥−6 Step 1 of 2 : Write the solution using interval notation.

Question

−2(−2x−2)<2x−6−2(−2𝑥−2)<2𝑥−6 Step 1 of 2 : Write the solution using interval notation.

🧐 Not the exact question you are looking for?Go ask a question

Solution

The given inequality is: −2(−2x−2)<2x−6

Step 1: Distribute the -2 on the left side of the inequality:

4x + 4 < 2x - 6

Step 2: Subtract 2x from both sides to get the x terms on one side:

2x + 4 < -6

Step 3: Subtract 4 from both sides to isolate x:

2x < -10

Step 4: Divide both sides by 2 to solve for x:

x < -5

So the solution in interval notation is (-∞, -5).

Similar Questions

−2(−2x−2)<2x−6−2(−2𝑥−2)<2𝑥−6Step 2 of 2 : Graph the solution to the given inequality.

-2x+6<x−6

−4x+3<−2x−7−4𝑥+3<−2𝑥−7Step 1 of 2 : Write the solution using interval notation.

−2x−3>−2−2𝑥−3>−2Step 2 of 2 : Graph the solution to the given inequality.

−2x−3>−2−2𝑥−3>−2Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.