Question

Which is the graph of the solution set of the inequality -3/5x > 9

Answer 1

The first graph is the graph of the solution set of the inequality
`-(3)/(5)` x ≥ 9

Explanation:

If multiply or divide the two sides of the inequality by a negative number, then we must reverse the sign of the inequality

Example:

2 < 3, when we divide both sides by -1, then it will be -2 > -3

Let us solve the question

∵
`-(3)/(5)` x ≥ 9

→ To find x divide both sides by
`-(3)/(5)`

∵
`-(3)/(5)` is a negative number

→ From the rule above

∴ Reverse the sign of inequality

∴ x ≤ -15

∵ We have an equal sign with the sign of inequality

∴ The vertex of the arrow should be bold

∵ The sign of inequality is smaller than

∴ The arrow must be pointed to the left ⇒ (negative direction)

∵ x ≤ -15

∴ The arrow represents it has a bold starting point at -15 and pointed

to the left

∴ The answer is the first graph