Question: What tv station shows both Real World/Road Rules Challenge: The Inferno and The Challenge?

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Real World/Road Rules Challenge: The Gauntlet: Real World/Road Rules Challenge: The Gauntlet is the 7th season of the MTV reality game show, "The Challenge" (at the time known as "Real World/Road Rules Challenge").  The season is directly subsequent to "".  "The Gauntlet" featured 28 castmates competing in missions with an immunity life-saver awarded to the best individual performer.  Each team would then select a player from their team to go into the Gauntlet elimination challenge.  This challenge was held in Telluride, Colorado.  It was hosted by Jonny Moseley.

Real World/Road Rules Challenge: The Inferno 3: Real World/Road Rules Challenge: The Inferno 3 is the 14th season of the MTV reality game show, "The Challenge" (at the time known as "Real World/Road Rules Challenge").

Real World/Road Rules Challenge 2000: Real World/Road Rules Challenge 2000 is the 3rd season of the MTV reality game show, "The Challenge" (at the time known as "Real World/Road Rules Challenge").  The season is directly subsequent to "Real World/Road Rules Challenge" the season.

Real World/Road Rules Challenge: The Island: Real World/Road Rules Challenge: The Island is the 16th season of the MTV reality game show, "The Challenge" (at the time known as "Real World/Road Rules Challenge").

Real World/Road Rules Challenge: The Inferno II: Real World/Road Rules Challenge: The Inferno II is the 10th season of the MTV reality game show, "The Challenge" (at the time known as "Real World/Road Rules Challenge").  The season is directly subsequent to "".

Tonya Cooley: Tonya Cooley (born January 7, 1980, in Visalia, California) is a former cast member on MTV's reality television series, "", the 11th season of "The Real World", which aired in 2002.  She was then a regular on the spin-off series, "Real World/Road Rules Challenge", participating in eight challenges, with her last being in 2009.  She also posed for "Playboy" as a Cyber Girl of the Week and appeared in an episode of the Cinemax adult series "The Erotic Traveler".  The stressful environment of the "Real World/Road Rules Challenge" seasons lead to a bout with alcoholism, but in 2016, BuzzFeed News reported she has gained sobriety in the years since leaving the series and that she is now a salon owner.  Cooley told the publication, "I am a genuinely happy person now."

The Challenge (TV series): The Challenge (originally known as Road Rules: All Stars, followed by Real World/Road Rules Challenge) is a reality game show on MTV that is spun off from the network's two reality shows, "Real World" and "Road Rules".  It features alumni from these two shows, in addition to first-time cast members called 'Fresh Meat', alumni from "Are You the One? ", and relatives of these cast members called 'Bloodlines', competing against one another for a cash prize.  "The Challenge" is currently hosted by T. J. Lavin.

Real World/Road Rules Challenge: The Inferno: Real World/Road Rules Challenge: The Inferno is the 8th season of the MTV reality game show, "The Challenge" (at the time known as "Real World/Road Rules Challenge").

Real World/Road Rules Challenge: The Duel II: Real World/Road Rules Challenge: The Duel II is the 17th season of the MTV reality game show, "The Challenge" (at the time known as "Real World/Road Rules Challenge").

Real World/Road Rules Challenge: The Ruins: Real World Road Rules Challenge: The Ruins is the 18th season of the MTV reality television game show, "The Challenge" (at the time known as "Real World/Road Rules Challenge").

Supporting paragraphs: Real World/Road Rules Challenge: The Inferno The Challenge (TV series)
Answer: MTV