Respuesta :
[tex]-8-5x+2 > -38\\\\-5x+(-8+2) > -38\\\\-5x-3 > -38\qquad|+3\\\\-5x > -35\qquad|\text{change the signs}\\\\5x < 35\qquad|:5\\\\x < 7[/tex]
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Answer:
x < 6.4
Step-by-step explanation:
given,
-8 - 5 x + 2 > -38
- 5 x - 6 > -38
adding both side by 6
- 5 x - 6 + 6 > -38 + 6
- 5 x > -32
multiplying both side by (-1)
5 x < 32
on multiplying by negative sign the inequality direction changes
x < 6.4
the graph is shown in the figure attached below. the shaded region shows the required area.
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