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Solve for x. 4x-39>-43 and 8x+31<23with an example of a graphic line

Solve For X 4x39gt43 And 8x31lt23with An Example Of A Graphic Line class=

Sagot :

Given:

[tex]4x-39>-43and8x+31<23[/tex]

Solve the inequality separately,

[tex]\begin{gathered} 4x-39>-43 \\ 4x>-43+39 \\ 4x>-4 \\ x>-1 \end{gathered}[/tex]

Also,

[tex]\begin{gathered} 8x+31<23 \\ 8x<23-31 \\ 8x<-8 \\ x<-1 \end{gathered}[/tex]

As the given inequality give x > -1 and x < -1 it shows that there is no solution for the given inequality.

The graph is given as,

The red region shows the inequality 4x -39 > -43 and blue region shows 8x +31 < 23.

Answer: Option D.

View image ArdiD738659