Algebra Examples

$p (- 0.73) < z < (2.27)$

Step 1

Divide each term in $p (- 0.73) < z$ by $- 0.73$ and simplify.

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Step 1.1

Divide each term in $p (- 0.73) < z$ by $- 0.73$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{p \cdot - 0.73}{- 0.73} > \frac{z}{- 0.73}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $- 0.73$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{p \cdot - 0.73}{- 0.73} > \frac{z}{- 0.73}$

Step 1.2.1.2

Divide $p$ by $1$ .

$p > \frac{z}{- 0.73}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Move the negative in front of the fraction.

$p > - \frac{z}{0.73}$

Step 1.3.2

Multiply by $1$ .

$p > - \frac{1 z}{0.73}$

Step 1.3.3

Factor $0.73$ out of $0.73$ .

$p > - \frac{1 z}{0.73 (1)}$

Step 1.3.4

Separate fractions.

$p > - (\frac{1}{0.73} \cdot \frac{z}{1})$

Step 1.3.5

Divide $1$ by $0.73$ .

$p > - (1.36986301 \frac{z}{1})$

Step 1.3.6

Divide $z$ by $1$ .

$p > - (1.36986301 z)$

Step 1.3.7

Multiply $1.36986301$ by $- 1$ .

$p > - 1.36986301 z$

Step 2

Remove parentheses.

$z < 2.27$

Step 3

Find the intersection of $p > - 1.36986301 z$ and $z < 2.27$ .

$- 1.36986301 z < z < 2.27$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$- 1.36986301 z < z < 2.27$

Interval Notation:

$(- 1.36986301 z, 2.27)$

Step 5