paridhiranjan paridhiranjan
  • 26-09-2020
  • Mathematics
contestada

Solve the system of inequalities: a) .4x−1≤0
2.3x≥4.6

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 05-10-2020

Answer:

(a) [tex]x \leq 2.5[/tex]

(b) [tex]x \geq 2[/tex]

Step-by-step explanation:

Solving (a):

[tex]0.4x - 1 \leq 0[/tex]

Add 1 to both sides

[tex]0.4x - 1 + 1\leq 0 + 1[/tex]

[tex]0.4x \leq 1[/tex]

Solve for x

[tex]x \leq 1/0.4[/tex]

[tex]x \leq 2.5[/tex]

Solving (b):

[tex]2.3x \geq 4.6[/tex]

Solve for x

[tex]x \geq 4.6/2.3[/tex]

[tex]x \geq 2[/tex]

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