Connect with a community of experts and enthusiasts on IDNLearn.com. Get timely and accurate answers to your questions from our dedicated community of experts who are here to help you.

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

Which Is The Graph Of The Solution Set Of The Inequality 35x Gt 9 class=

Sagot :

Answer:

The first graph is the graph of the solution set of the inequality  [tex]-\frac{3}{5}[/tex] x ≥ 9

Step-by-step 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

∵ [tex]-\frac{3}{5}[/tex] x ≥ 9

→ To find x divide both sides by [tex]-\frac{3}{5}[/tex]

∵ [tex]-\frac{3}{5}[/tex] 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