Datrys 12-4/5(5x-15)leq4/7(14x+105)

$$12 - \frac { 4 } { 5 } ( 5 x - 15 ) \leq \frac { 4 } { 7 } ( 14 x + 105 )$$

Datrys ar gyfer x

$$x\geq -3$$

Camau Ateb

Defnyddio’r briodwedd ddosbarthu i luosi -\frac{4}{5} â 5x-15.

$$12-\frac{4}{5}\times 5x-\frac{4}{5}\left(-15\right)\leq \frac{4}{7}\left(14x+105\right)$$

Canslo 5 a 5.

$$12-4x-\frac{4}{5}\left(-15\right)\leq \frac{4}{7}\left(14x+105\right)$$

Mynegwch -\frac{4}{5}\left(-15\right) fel ffracsiwn unigol.

$$12-4x+\frac{-4\left(-15\right)}{5}\leq \frac{4}{7}\left(14x+105\right)$$

Lluosi -4 a -15 i gael 60.

$$12-4x+\frac{60}{5}\leq \frac{4}{7}\left(14x+105\right)$$

Rhannu 60 â 5 i gael 12.

$$12-4x+12\leq \frac{4}{7}\left(14x+105\right)$$

Adio 12 a 12 i gael 24.

$$24-4x\leq \frac{4}{7}\left(14x+105\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi \frac{4}{7} â 14x+105.

$$24-4x\leq \frac{4}{7}\times 14x+\frac{4}{7}\times 105$$

Mynegwch \frac{4}{7}\times 14 fel ffracsiwn unigol.

$$24-4x\leq \frac{4\times 14}{7}x+\frac{4}{7}\times 105$$

Lluosi 4 a 14 i gael 56.

$$24-4x\leq \frac{56}{7}x+\frac{4}{7}\times 105$$

Rhannu 56 â 7 i gael 8.

$$24-4x\leq 8x+\frac{4}{7}\times 105$$

Mynegwch \frac{4}{7}\times 105 fel ffracsiwn unigol.

$$24-4x\leq 8x+\frac{4\times 105}{7}$$

Lluosi 4 a 105 i gael 420.

$$24-4x\leq 8x+\frac{420}{7}$$

Rhannu 420 â 7 i gael 60.

$$24-4x\leq 8x+60$$

Tynnu 8x o'r ddwy ochr.

$$24-4x-8x\leq 60$$

Cyfuno -4x a -8x i gael -12x.

$$24-12x\leq 60$$

Tynnu 24 o'r ddwy ochr.

$$-12x\leq 60-24$$

Tynnu 24 o 60 i gael 36.

$$-12x\leq 36$$

Rhannu’r ddwy ochr â -12. Gan fod -12 yn <0, mae cyfeiriad yr anhafaledd wedi newid.

$$x\geq \frac{36}{-12}$$

Rhannu 36 â -12 i gael -3.

$$x\geq -3$$