diff --git a/ui/jquery.ui.slider.js b/ui/jquery.ui.slider.js
index ed27ae9c86c..ba538fd3a1e 100644
--- a/ui/jquery.ui.slider.js
+++ b/ui/jquery.ui.slider.js
@@ -585,10 +585,10 @@ $.widget( "ui.slider", $.ui.mouse, {
 	
 	// returns the step-aligned value that val is closest to, between (inclusive) min and max
 	_trimAlignValue: function( val ) {
-		if ( val < this._valueMin() ) {
+		if ( val <= this._valueMin() ) {
 			return this._valueMin();
 		}
-		if ( val > this._valueMax() ) {
+		if ( val >= this._valueMax() ) {
 			return this._valueMax();
 		}
 		var step = ( this.options.step > 0 ) ? this.options.step : 1,