Question

which graph represents the solution to the inequality below?
6.5 < 2/3x -3.5

Answer 1

solving the inequality $6.5 < \frac{2}{3}x-3.5$ we get $x>15$

The graph is shown in figure attached.

Step-by-step explanation:

We need to graph the inequality: $6.5 < \frac{2}{3}x-3.5$

For graphing, we first find the value of x by solving the inequality:

$6.5 < \frac{2}{3}x-3.5$

Switch sides of the equation

For switching sides the inequality is reversed i.e < is changed into greater than

$\frac{2}{3}x-3.5 > 6.5$

Adding 3.5 on both sides

$\frac{2}{3}x-3.5+3.5>6.5+3.5\\ \frac{2}{3}x>10$

Multiply both sides by 3/2

$x>10* \frac{3}{2}\\x>5*3\\x>15$

So, solving the inequality $6.5 < \frac{2}{3}x-3.5$ we get $x>15$

The graph is shown in figure attached.

Keywords: Solving inequalities

Learn more about Solving inequalities at:

• brainly.com/question/1465430
• brainly.com/question/6703816
• brainly.com/question/11788572
• brainly.com/question/4192226

#learnwithBrainly