Solve 52-8(x-5)≥0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 8 x + 40

52 - 8 x + 40

Add the numbers

92 - 8 x

92 - 8 x \geq 0

Move the constant to the right side

- 8 x \geq 0 - 92

Removing 0 doesn't change the value,so remove it from the expression

- 8 x \geq - 92

Change the signs on both sides of the inequality and flip the inequality sign

8 x \leq 92

Divide both sides

\frac{8 x}{8} \leq \frac{92}{8}

Divide the numbers

x \leq \frac{92}{8}

Solution

x \leq \frac{23}{2}

Alternative Form

x \in (- \infty, \frac{23}{2}]

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