Solve 2-7x+5(1+x)>4(1-2

$$2 - 7 x + 5 ( 1 + x ) > 4 ( 1 - 2$$

Solve for x

$$x<\frac{11}{2}$$

Solution Steps

Use the distributive property to multiply 5 by 1+x.

$$2-7x+5+5x>4\left(1-2\right)$$

Add 2 and 5 to get 7.

$$7-7x+5x>4\left(1-2\right)$$

Combine -7x and 5x to get -2x.

$$7-2x>4\left(1-2\right)$$

Subtract 2 from 1 to get -1.

$$7-2x>4\left(-1\right)$$

Multiply 4 and -1 to get -4.

$$7-2x>-4$$

Subtract 7 from both sides.

$$-2x>-4-7$$

Subtract 7 from -4 to get -11.

$$-2x>-11$$

Divide both sides by -2. Since -2 is negative, the inequality direction is changed.

$$x<\frac{-11}{-2}$$

Fraction \frac{-11}{-2} can be simplified to \frac{11}{2} by removing the negative sign from both the numerator and the denominator.

$$x<\frac{11}{2}$$