When you lift weights until you can't anymore, you build about the same muscle size no matter how many reps you do, but doing more reps makes you stronger than doing fewer reps.
Evidence from Studies
Supporting (1)
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Muscle hypertrophy and strength gains after resistance training with different volume matched loads: a systematic review and meta-analysis.
The study shows that lifting weights to failure makes muscles grow the same no matter how many reps you do, but doing fewer reps with heavier weights makes you stronger than doing more reps with lighter weights.
Contradicting (2)
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Resistance Training Load Effects on Muscle Hypertrophy and Strength Gain: Systematic Review and Network Meta-analysis
The study found that lifting heavier weights (fewer reps) makes you stronger than lifting lighter weights (more reps), which is the opposite of what the claim says.
Divergent Strength Gains but Similar Hypertrophy After Low-Load and High-Load Resistance Exercise Training in Trained Individuals: Many Roads Lead to Rome.
The study showed that lifting heavy weights (low reps) actually gave better strength gains than lifting lighter weights (high reps) for some exercises, which goes against the claim.
Gold Standard Evidence Needed
According to GRADE and EBM methodology, here is what ideal scientific evidence would look like to definitively prove or disprove this specific claim, ordered from strongest to weakest evidence.