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(1) $g$ is non-negative (2) $g$ is positive and $h$ is negative

(1) $g$ is non-negative

(2) $g$ is positive and $h$ is negative

Which of the statements above is sufficient to make $g+h>h$ a true statement?

Statement (1) ALONE is sufficient to answer the question, but statement (2) ALONE is not.

Statement (2) ALONE is sufficient to answer the question, but statement (1) ALONE is not.

Statement (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.

EITHER statement ALONE is sufficient to answer the question.

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked - more relevant data is required.