Question

SOLVING INEQUALITIES Solve the inequality. $$11.2 x \leq 134.4$$

Short answer

The solution of the inequality is \(x \leq 12\). Therefore, any value of \(x\) that is less than or equal to 12 will satisfy the inequality.

Step-by-step solution

Start with the given inequality

Write down the initial inequality which is \(11.2x \leq 134.4\). This equation states that 11.2 times some number \(x\) is less than or equal to 134.4.

Divide both sides by 11.2

Divide each side of the equation by 11.2 to solve for \(x\). This simplifies the left side to just \(x\) because \(11.2/11.2\) is 1, and \(1*x = x\). The right side becomes \(134.4/11.2\).

Compute the division

Perform the division on the right side. \(134.4\) divided by \(11.2\) equals to \(12\). The inequality is now solved and can be written as \(x \leq 12\).