Question

4" alt=" - \frac{1}{2} x > 4" align="absmiddle" class="latex-formula">

​

Answer 1

Answer:

x< -8

Step-by-step explanation:

To solve the inequality, we must get x isolated.

-1/2x>4

We have to perform the inverse operation to both sides. x is being multiplied by -1/2. The inverse of multiplication is division. Divide both sides by -1/2.

-1/2x / -1/2 > 4/ -1/2

When dividing by fraction, you can also multiply by the reciprocal.

To find the reciprocal, flip the numerator and the denominator.

-1/2–> -2/1

-2/1 *-1/2x > 4* -2/1

x> 4* -2/1

When multiplying or dividing by a negative number in an inequality, you must flip the inequality sign.

x < 4* -2/1

x < 4*-2

x< -8