Question

a) 3(X-1)-2(X-1)≤X+1

b) 2(2X-1)-(X-1)≥X+3



c) 2(2X-1)-(X+31)≥6X-2



d) ) 2X+3>2(X+3)

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Answer 1

Respuesta:

a) 3 ≤ x

b) x ≥ 4

c) x ≥ 3,111...

d) x > 1,5

Explicación paso a paso:

3(X-1)-2(X-1)≤X+1

3x - 3 - 2x - 2 ≤ x + 1

3x - 2x ≤ x + 1 + 3 + 2

x ≤ x + 6

6 - x ≤ x

6 ≤ x + x

6 ≤ 2x

6 ÷ 2 ≤ x

3 ≤ x

2(2X-1)-(X-1)≥X+3

4x - 4 - (x - 1) ≥ x + 3

4x - x - 1 ≥ x + 3 + 4

3x ≥ x + 7 + 1

x - 3x ≥ 8

2x ≥ 8

x ≥ 8 ÷ 2

x ≥ 4

2(2X-1)-(X+31)≥6X-2

4x - 1 - (x + 31) ≥ 6x - 2

4x - x + 31 ≥ 6x - 3

6x + 3x + 31 ≥ 3

9x ≥ -28

x ≥ -28 ÷ 9

x ≥ 3,111....

2X+3>2(X+3)

2x + 3 > 2x + 3

2x > 2x + 6

6 - 2x > 2x

6 > 4x

4x > 6

x > 6 ÷ 4

x > 1,5