Question

Solve the system of two linear inequalities graphically.{x<5<2x - 4Step 1 of 3: Graph the solution set of the first linear inequality.Answer3 KeypadKeyboard ShortcutsThe line will be drawn once all required data is provided and will update whenever a value is updated. Theregions will be added once the line is drawn.HOANChoose the type of boundary line:O Solid (-)Dashed ---)SEnter two points on the boundary line:10-5ज510JOO5Select the region you wish to be shaded:ОАOB101

Answer 1

From the problem, we have :

`\begin{gathered} x<5 \\ x\ge-4 \end{gathered}`

For the first inequality, x < 5

Since the symbol is "<", the boundary line is dashed line.

The boundary line is at x = 5 which has points (5, 0) and (5, 2)

and the region is to left of x = 5.

The graph will be :

Next is to graph the second inequality, x ≥ -4

Since the symbol is "≥", the boundary line is a solid line

The boundary line is at x = 4 which has points (-4, 0) and (-4, 2)

and the region is to the right.

The graph will be :

The solution to the inequalities is the overlapping region when joined together.

This will be :

The overlapping region is the middle region or region in between the boundary line which is also -4 ≤ x < 5