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2+3x>8 or 4-7x ≤-17 graph and solve the systems

Sagot :

Mhanifaidn

Answer:

  • See below

Step-by-step explanation:

Simplify the inequalities:

  • 2 + 3x > 8
  • 3x > 6
  • x > 2

Or

  • 4 - 7x ≤ - 17
  • 7x ≥ 4 + 17
  • 7x ≥ 21
  • x ≥ 3

The system becomes:

  • x > 2 or x ≥ 3

The intersection is:

  • x ≥ 3

or

  • x ∈ [3, +∞)

The graph is attached

View image Mhanifa

#1

[tex]\\ \sf\longmapsto 2+3x>8[/tex]

[tex]\\ \sf\longmapsto 3x>6[/tex]

[tex]\\ \sf\longmapsto x>2[/tex]

#2

[tex]\\ \sf\longmapsto 4-7x\leqslant -17[/tex]

[tex]\\ \sf\longmapsto -7x\leqslant -21[/tex]

[tex]\\ \sf\longmapsto x\geqslant 3[/tex]

Graphs attached

View image Аноним
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