Solve the Inequality for c (14)(14)c<=700

$(14) (14) c \leq 700$

Step 1

Multiply $14$ by $14$ .

$196 c \leq 700$

Step 2

Divide each term in $196 c \leq 700$ by $196$ and simplify.

Divide each term in $196 c \leq 700$ by $196$ .

$\frac{196 c}{196} \leq \frac{700}{196}$

Simplify the left side.

Cancel the common factor of $196$ .

Cancel the common factor.

$\frac{196 c}{196} \leq \frac{700}{196}$

Divide $c$ by $1$ .

$c \leq \frac{700}{196}$

Simplify the right side.

Cancel the common factor of $700$ and $196$ .

Factor $28$ out of $700$ .

$c \leq \frac{28 (25)}{196}$

Cancel the common factors.

Factor $28$ out of $196$ .

$c \leq \frac{28 \cdot 25}{28 \cdot 7}$

Cancel the common factor.

$c \leq \frac{28 \cdot 25}{28 \cdot 7}$

Rewrite the expression.

$c \leq \frac{25}{7}$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$c \leq \frac{25}{7}$

Interval Notation:

$(- \infty, \frac{25}{7}]$