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Solve the inequality -12 ≤ 2x -4 < 10

User Talia
by
8.7k points

2 Answers

4 votes

Answer:

-4 ≤ x < 7

Explanation:

Method 1: Split the inequality into two parts,

-12 ≤ 2x-4

and

2x -4 < 10

Solve.

-8 ≤ 2x

2x ≥ -8

x ≥ -4

and

2x < 14

x < 7

So, x is greater than (or equal to) -4, but less than 7.

-4 ≤ x < 7

Method 2:

-12 ≤ 2x - 4 < 10

Add 4 to both sides.

-8 ≤ 2x < 14

Divide both sides by 2.

-4 ≤ x < 7

User Eugene Braginets
by
8.0k points
4 votes

Answer:

-4 ≤ x <7

x is greater than or equal to -4, and x is less than 7

Explanation:

Take each side and solve

-12 ≤ 2x -4

subtract 4 on both sides

-8 ≤ 2x

divide by 2 on both sides

-4 ≤ x

2x -4 < 10

add 4 on both sides

2x < 14

divide by two on both sides

x < 7

Final answer:

-4 ≤ x <7

User Richelly Italo
by
8.1k points

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