Rachel multiplied each side of ≥x greater than or equal to 2 by 3. She wrote the result as ≤3 x less than or equal to 6 . Explain the error Rachel made.

Rachel's error is in the inequality sign

Step-by-step explanation:

Given

Required

Determine the error in Rachel's workings

From the question, we understand that both sides of the inequality were multiplied by 3

i.e.

This gives

Comparing this to Rachel's result:

We can conclude that Rachel's error is in the inequality sign.

The sign of an inequality will only change is it is being multiplied or divided by a negative number; otherwise, the sign remains unchanged

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

a.)the line for function b is steeper