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