How do you solve and graph r - 8 ≤ 7 ?

Question

How do you solve and graph       r    -    8    ≤    7   ?

Carl Norris · Accepted Answer

Step 1Add                     8             to each side of the inequality to solve for r while keeping the inequality balanced:      r    -    8    +                  8              ≤    7    +                  8                  r    -    0    ≤    15        r    ≤    15  To graph this we will draw a vertical line at 15 on the horizontal axis.The line will be a solid line because the inequality operator contains an &quot;or equal to&quot; clause.

mybabe43nncck · Accepted Answer

Step 1Given:       r    -    8    ≤    7  Add 8 to both sides:      r    ≤    15  On polar graph paper, draw a circle, centered at the origin, with radius 15 and then shade the inside of the circle to indicate that every point within the circle and on the edge is included.

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