Solve \left|2x+1\right|\gt 7 - UpStudy

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Home Math Solver

|2x+1|>7

error msg

Algebra
Calculus
Trigonometry
Matrix
Differential
Integral
Trigonometry
Letters

Question

∣ 2 x + 1 ∣ > 7

Solve the inequality

x \in (- \infty, - 4) \cup (3, + \infty)

Evaluate

∣ 2 x + 1 ∣ > 7

Separate the inequality into 2 possible cases

2 x + 1 > 7 2 x + 1 < - 7

Solve the inequality for x

More Steps Hide Steps

Evaluate

2 x + 1 > 7

Move the constant to the right side

2 x > 7 - 1

Subtract the numbers

2 x > 6

Divide both sides

\frac{2 x}{2} > \frac{6}{2}

Divide the numbers

x > \frac{6}{2}

Divide the numbers

More Steps Hide Steps

Evaluate

\frac{6}{2}

Reduce the numbers

\frac{3}{1}

Calculate

3

x > 3

x > 3 2 x + 1 < - 7

Solve the inequality for x

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Evaluate

2 x + 1 < - 7

Move the constant to the right side

2 x < - 7 - 1

Subtract the numbers

2 x < - 8

Divide both sides

\frac{2 x}{2} < \frac{- 8}{2}

Divide the numbers

x < \frac{- 8}{2}

Divide the numbers

More Steps Hide Steps

Evaluate

\frac{- 8}{2}

Reduce the numbers

\frac{- 4}{1}

Calculate

- 4

x < - 4

x > 3 x < - 4

Solution

x \in (- \infty, - 4) \cup (3, + \infty)

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