To solve the inequality 1.7x - 2 > 3x + 6, you can start by simplifying the equation.
1.7x - 2 > 3x + 6Subtract 1.7x from both sides:-2 > 1.3x + 6Subtract 6 from both sides:-8 > 1.3xDivide by 1.3:-8/1.3 > xx < -6.15
Therefore, the solution to the inequality is x < -6.15.
To simplify the expression 2(3 - 2x) + 3(2 - x), you can distribute the coefficients:
2(3 - 2x) + 3(2 - x)= 6 - 4x + 6 - 3x (Distribute)= 12 - 7x (Combine like terms)
Therefore, the simplified expression is 12 - 7x.
To solve the inequality 1.7x - 2 > 3x + 6, you can start by simplifying the equation.
1.7x - 2 > 3x + 6
Subtract 1.7x from both sides:
-2 > 1.3x + 6
Subtract 6 from both sides:
-8 > 1.3x
Divide by 1.3:
-8/1.3 > x
x < -6.15
Therefore, the solution to the inequality is x < -6.15.
To simplify the expression 2(3 - 2x) + 3(2 - x), you can distribute the coefficients:
2(3 - 2x) + 3(2 - x)
= 6 - 4x + 6 - 3x (Distribute)
= 12 - 7x (Combine like terms)
Therefore, the simplified expression is 12 - 7x.