Question

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

Answer 1

#1

`\\ \sf\longmapsto 2+3x>8`

`\\ \sf\longmapsto 3x>6`

`\\ \sf\longmapsto x>2`

#2

`\\ \sf\longmapsto 4-7x\leqslant -17`

`\\ \sf\longmapsto -7x\leqslant -21`

`\\ \sf\longmapsto x\geqslant 3`

Graphs attached

Answer 2

• See below

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