Question

1.3(c - 4) < 2.6 + 0.7c Can someone help with this inequality please?

Answer 1

Simplifying 1.3(c + -4) = 2.6 + 0.7c Reorder the terms: 1.3(-4 + c) = 2.6 + 0.7c (-4 * 1.3 + c * 1.3) = 2.6 + 0.7c (-5.2 + 1.3c) = 2.6 + 0.7c Solving -5.2 + 1.3c = 2.6 + 0.7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.7c' to each side of the equation. -5.2 + 1.3c + -0.7c = 2.6 + 0.7c + -0.7c Combine like terms: 1.3c + -0.7c = 0.6c -5.2 + 0.6c = 2.6 + 0.7c + -0.7c Combine like terms: 0.7c + -0.7c = 0.0 -5.2 + 0.6c = 2.6 + 0.0 -5.2 + 0.6c = 2.6 Add '5.2' to each side of the equation. -5.2 + 5.2 + 0.6c = 2.6 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 0.6c = 2.6 + 5.2 0.6c = 2.6 + 5.2 Combine like terms: 2.6 + 5.2 = 7.8 0.6c = 7.8 Divide each side by '0.6'. c = 13 Simplifying c = 13