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Question :

1<2x+3le 9

Solve the inequality

- 1 < x \leq 3

Alternative Form

x \in (- 1, 3]

Evaluate

1 < 2 x + 3 \leq 9

Separate into two inequalities

{1 < 2 x + 3 2 x + 3 \leq 9

Solve the inequality

More Steps

Evaluate

1 < 2 x + 3

Swap the sides of the inequality

2 x + 3 > 1

Move the constant to the right side

2 x > 1 - 3

Subtract the numbers

2 x > - 2

Divide both sides

\frac{2 x}{2} > \frac{- 2}{2}

Divide the numbers

x > \frac{- 2}{2}

Divide the numbers

More Steps

Evaluate

\frac{- 2}{2}

Reduce the numbers

\frac{- 1}{1}

Calculate

- 1

x > - 1

{x > - 1 2 x + 3 \leq 9

Solve the inequality

More Steps

Evaluate

2 x + 3 \leq 9

Move the constant to the right side

2 x \leq 9 - 3

Subtract the numbers

2 x \leq 6

Divide both sides

\frac{2 x}{2} \leq \frac{6}{2}

Divide the numbers

x \leq \frac{6}{2}

Divide the numbers

More Steps

Evaluate

\frac{6}{2}

Reduce the numbers

\frac{3}{1}

Calculate

3

x \leq 3

{x > - 1 x \leq 3

Solution

- 1 < x \leq 3

Alternative Form

x \in (- 1, 3]

Show Solution

Frequently Asked Questions

$Solve for x$ of \(1<2x+3\le 9\)

$- 1 < x \leq 3$

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