Graph a linear inequality [math]a x + b \le c[/math] that can be explored using sliders.

[table][tr][td]1.[/td][td][icon]https://www.geogebra.org/wiki/uploads/thumb/4/40/Menu_view_algebra.svg/20px-Menu_view_algebra.svg.png[/icon][/td][td]Enter [math]\text{a x + b \le c}[/math] into the [i]Algebra Input[/i] and press the [i]Enter[/i] key.[/td][/tr][tr][td][/td][td][/td][td][u]Hints[/u]: You may use the [img]https://www.geogebra.org/wiki/uploads/thumb/d/dc/Keyboard_open.svg/16px-Keyboard_open.svg.png[/img] onscreen keyboard in order to enter the [math]\le[/math] symbol. GeoGebra will automatically create sliders for the parameters [i]a[/i], [i]b[/i], and [i]c[/i].[/td][/tr][tr][td]2.[/td][td][icon]/images/ggb/toolbar/mode_move.png[/icon][/td][td]Use the [i]Move [/i]tool in order to adjust the slider values so that [i]a = 1[/i], [i]b = 1[/i], and [i]c = 3[/i].[/td][/tr][tr][td]3.[/td][td] [img]https://www.geogebra.org/wiki/uploads/thumb/d/db/Stylingbar_icon_graphics.svg/32px-Stylingbar_icon_graphics.svg.png[/img][/td][td]Change the increment of the sliders to 1.[/td][/tr][tr][td][/td][td][/td][td][u]Hints[/u]: [br][list][*]Select number [i]a[/i] and open the [img]https://www.geogebra.org/wiki/uploads/thumb/d/db/Stylingbar_icon_graphics.svg/16px-Stylingbar_icon_graphics.svg.png[/img] [i]Style Bar[/i] of the [i]Graphics View[/i]. [/*][*]Open the [img]https://www.geogebra.org/wiki/uploads/thumb/3/30/Menu-options.svg/16px-Menu-options.svg.png[/img] [i]Properties [/i]of number a and select tab [i]Slider[/i].[/*][*]Set the [i]Increment [/i]to 1 and repeat for numbers [i]b[/i] and [i]c[/i].[/*][/list][/td][/tr][tr][td]4.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/td][td]Drag the background of the [i]Graphics View[/i] in order to move the origin to the center.[/td][/tr][tr][td][br]5.[/td] [td][icon]/images/ggb/toolbar/mode_zoomout.png[/icon][/td][td]Zoom out in order to make a bigger part of the coordinate system visible on screen.[/td][/tr][tr][td]6.[/td][td][img]https://www.geogebra.org/wiki/uploads/thumb/d/db/Stylingbar_icon_graphics.svg/32px-Stylingbar_icon_graphics.svg.png[/img][/td][td]Set the distance between the marks on the axes to 1.[/td][/tr][tr][td][/td][td][/td][td][u]Hints[/u]: [br][list][*]Make sure that no object is selected before you open the [img]https://www.geogebra.org/wiki/uploads/thumb/d/db/Stylingbar_icon_graphics.svg/16px-Stylingbar_icon_graphics.svg.png[/img] [i]Style Bar[/i] of the [i]Graphics View[/i].[/*][*]Open the [img]https://www.geogebra.org/wiki/uploads/thumb/3/30/Menu-options.svg/16px-Menu-options.svg.png[/img] [i]Properties [/i]of the axes.[/*][*]Select tab [i]xAxis[/i] and check set the [i]Distance [/i]to 1.[/*][*]Repeate on tab [i]yAxis[/i].[/*][/list][/td][/tr][/table]