Solve 0K*0:-1/3*xleq2

$$0 K \times 0 : \frac { - 1 } { 3 } \times x \leq 2$$

Evaluate (complex solution)

Solution Steps

Multiply 0 and 0 to get 0.

$$\frac{0K}{\frac{-1}{3}}x\leq 2$$

Anything times zero gives zero.

$$\frac{0}{\frac{-1}{3}}x\leq 2$$

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$\frac{0}{-\frac{1}{3}}x\leq 2$$

Zero divided by any non-zero number gives zero.

$$0x\leq 2$$

Anything times zero gives zero.

$$0\leq 2$$

Compare 0 and 2.

$$\text{true}$$

Solve for x

$$x\in \mathrm{R}$$

Solution Steps

Multiply 0 and 0 to get 0.

$$\frac{0K}{\frac{-1}{3}}x\leq 2$$

Anything times zero gives zero.

$$\frac{0}{\frac{-1}{3}}x\leq 2$$

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$\frac{0}{-\frac{1}{3}}x\leq 2$$

Zero divided by any non-zero number gives zero.

$$0x\leq 2$$

Anything times zero gives zero.

$$0\leq 2$$

This is true for any x.

$$x\in \mathrm{R}$$

Solve for K

$$K\in \mathrm{R}$$

Solution Steps

Multiply 0 and 0 to get 0.

$$\frac{0K}{\frac{-1}{3}}x\leq 2$$

Anything times zero gives zero.

$$\frac{0}{\frac{-1}{3}}x\leq 2$$

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$\frac{0}{-\frac{1}{3}}x\leq 2$$

Zero divided by any non-zero number gives zero.

$$0x\leq 2$$

Anything times zero gives zero.

$$0\leq 2$$

This is true for any K.

$$K\in \mathrm{R}$$