Solve {l}{6(-2)-3geq-2+7}{7(-2)+3leq15+3(-2)}

$$\left. \begin{array} { l } { 6 ( - 2 ) - 3 \geq - 2 + 7 } \\ { 7 ( - 2 ) + 3 \leq 15 + 3 ( - 2 ) } \end{array} \right.$$

Verify

Solution Steps

Multiply 6 and -2 to get -12.

$$-12-3\geq -2+7\text{ and }7\left(-2\right)+3\leq 15+3\left(-2\right)$$

Subtract 3 from -12 to get -15.

$$-15\geq -2+7\text{ and }7\left(-2\right)+3\leq 15+3\left(-2\right)$$

Add -2 and 7 to get 5.

$$-15\geq 5\text{ and }7\left(-2\right)+3\leq 15+3\left(-2\right)$$

Compare -15 and 5.

$$\text{false}\text{ and }7\left(-2\right)+3\leq 15+3\left(-2\right)$$

Multiply 7 and -2 to get -14.

$$\text{false}\text{ and }-14+3\leq 15+3\left(-2\right)$$

Add -14 and 3 to get -11.

$$\text{false}\text{ and }-11\leq 15+3\left(-2\right)$$

Multiply 3 and -2 to get -6.

$$\text{false}\text{ and }-11\leq 15-6$$

Subtract 6 from 15 to get 9.

$$\text{false}\text{ and }-11\leq 9$$

Compare -11 and 9.

$$\text{false}\text{ and }\text{true}$$

The conjunction of \text{false} and \text{true} is \text{false}.

$$\text{false}$$