Question

A) 6x-7>5б) x+3<3x-5в) 5(x-1) +6>6x​

Answer 1

Ответ:

х>2

х>4

х<1

Пошаговое объяснение:

6х-7>5

6х>5+7. При переходе знак меняется

6х>12

х>2

х+3<3х-5 перенесём с х вправо, без х в лево

3+5<3х-х перепишем справа налево

3х-х>3+5

2х>8

х>4

5(х-1)+6>6х

5х-5+6>6х

5х+1>6х. Перенесём 5х вправо и запишем справа налево

6х-5х<1

х<1

Answer 2

To solve each inequality, let's find the value of 'x' that satisfies the inequality. Remember that when we isolate 'x', we need to flip the inequality sign if we multiply or divide both sides by a negative number.

A) 6x - 7 > 5

Add 7 to both sides: 6x > 12

Now, divide both sides by 6 (note that 6 is positive, so we don't need to flip the inequality sign): x > 2

The solution for the first inequality is x > 2.

B) x + 3 < 3x - 5

Subtract 'x' from both sides: 3 < 2x - 5

Add 5 to both sides: 8 < 2x

Finally, divide both sides by 2 (again, no need to flip the inequality sign since 2 is positive): 4 < x

The solution for the second inequality is x > 4.

C) 5(x - 1) + 6 > 6x

Distribute the 5 on the left side: 5x - 5 + 6 > 6x

Combine like terms: 5x + 1 > 6x

Subtract 5x from both sides: 1 > x

The solution for the third inequality is x < 1.

To summarize: A) x > 2 B) x > 4 C) x < 1