Solve s^24<4 - ScanMath

Question

Solve the inequality

Solve the inequality by testing the values in the interval

Solve the inequality by separating into cases

Solve for s

- 1 < s < 1

Alternative Form

s \in (- 1, 1)

Evaluate

s^{2} \times 4 < 4

Use the commutative property to reorder the terms

4 s^{2} < 4

Move the expression to the left side

4 s^{2} - 4 < 0

Rewrite the expression

4 s^{2} - 4 = 0

Move the constant to the right-hand side and change its sign

4 s^{2} = 0 + 4

Removing 0 doesn't change the value,so remove it from the expression

4 s^{2} = 4

Divide both sides

\frac{4 s ^{2}}{4} = \frac{4}{4}

Divide the numbers

s^{2} = \frac{4}{4}

Divide the numbers

More Steps

s^{2} = 1

Take the root of both sides of the equation and remember to use both positive and negative roots

s = \pm 1

Simplify the expression

s = \pm 1

Separate the equation into 2 possible cases

s = 1 s = - 1

Determine the test intervals using the critical values

s < - 1 - 1 < s < 1 s > 1

Choose a value form each interval

s_{1} = - 2 s_{2} = 0 s_{3} = 2

To determine if s < - 1 is the solution to the inequality,test if the chosen value s = - 2 satisfies the initial inequality

More Steps

s < - 1 is not a solution s_{2} = 0 s_{3} = 2

To determine if - 1 < s < 1 is the solution to the inequality,test if the chosen value s = 0 satisfies the initial inequality

More Steps

s < - 1 is not a solution - 1 < s < 1 is the solution s_{3} = 2

To determine if s > 1 is the solution to the inequality,test if the chosen value s = 2 satisfies the initial inequality

More Steps

s < - 1 is not a solution - 1 < s < 1 is the solution s > 1 is not a solution

Solution

- 1 < s < 1

Alternative Form

s \in (- 1, 1)

Show Solution