Question

What is the answer to this? −1.3≥2.9−0.6r

Answer 1

Answer:

Inequality Form:

r ≥ 7

Interval Notation:

[7, ∞)

Step-by-step explanation:

−1.3 ≥ 2.9 − 0.6r

Rewrite so r is on the left side of the inequality.

2.9 − 0.6r  ≤ −1.3

Move all terms not containing r to the right side of the inequality.  

Subtract 2.9 from both sides of the inequality.

−0.6r  ≤ −1.3 − 2.9

Subtract 2.9 from −1.3.

−0.6r  ≤ −4.2

Divide each term by −0.6 and simplify.

      Divide each  term in −0.6r  ≤ −4.2 by −0.6. When multiplying or dividing both sides of an

      inequality by a negative value, f lip the direction of the inequality sign.

       −0.6r /−0.6 ≥  −4.2 /−0.6

       Cancel the common factor of −0.6.

                  −4.2

          r ≥    ______

                  −0.6

 Divide −4.2 by −0.6.

r ≥ 7

The result can be shown in multiple forms.

Inequality Form:

r ≥ 7

Interval Notation:

[7, ∞)