The requirement is 8 majorities for consideration at the convention. Winner take all means a plurality(the most votes, not necessarily a majority) wins all the delegates but if there are not 8 wins by actual majorities, that is MORE THAN 50% then that winner cannot be considered for nomination at the convention.
Incorrect. Rule 40 states
RULE NO. 40He needs to win a majority of DELEGATES from 8 or more states.Nominations
(a) In making the nominations for President of the United States and Vice President of the United States and voting thereon, the roll of the states shall be called separately in each case; provided, however, that if there is only one candidate for nomination for Vice President of the United States who has demonstrated the support required by paragraph (b) of this rule, a motion to nominate for such office by acclamation shall be in order and no calling of the roll with respect to such office shall be required.
(b) Each candidate for nomination for President of the United States and Vice President of the United States shall demonstrate the support of a majority of the delegates from each of eight (8) or more states, severally, prior to the presentation of the name of that candidate for nomination. Notwithstanding any other provisions of these rules or any rule of the House of Representatives, to demonstrate the support required of this paragraph a certificate evidencing the affirmative written support of the required number of permanently seated delegates from each of the eight ( 8) or more states shall have been submitted to the secretary of the convention not later than one (1) hour prior to the placing of the names of candidates for nomination pursuant to this rule and the established order of business