Question

16. What values of satisty this inequality? 7 - 2x ≤ 0

Answer 1

Given:

7 - 2x ≤ 0

To find the values of x that satisfy this inequality, let's solve for x.

7 - 2x ≤ 0

Subtract 7 from both sides:

7 - 7 - 2x ≤ 0 - 7

-2x ≤ -7

Divide both sides by -2:

`\begin{gathered} (-2x)/(-2)\le(-7)/(-2) \\ \\ x\text{ }\ge\text{ 3.5} \end{gathered}`

The inequality sign was flipped because we divided both sides with a negative integer.

The inequality sign should be flipped when both sides are divided or multiplied by a negative value.

ANSWER:

`H.\text{ }x\text{ }\ge\text{ 3.5}`