Question

What is the solution to the inequality 1 and two-thirds greater-than-or-equal-to r minus StartFraction 7 over 12 EndFraction question mark
r less-than-or-equal-to negative 2 and one-fourth

r less-than-or-equal-to 2 and one-fourth

r greater-than-or-equal-to 2 and one-fourth

r greater-than-or-equal-to negative 2 and one-fourth

Answer 1

Answer:

B)  r less-than-or-equal-to 2 and one-fourth

Step-by-step explanation:

Given the inequality $1 \frac{2}{3}\geq r-\frac{7}{12}$, the solution to the inequality is as shown below;

Step 1: Add $\frac{7}{12}$ to both sides of the equation and sove

$1 \frac{2}{3} + \frac{7}{12} \geq r-\frac{7}{12}+\frac{7}{12}\\\frac{5}{3} + \frac{7}{12}\geq r\\\frac{20+7}{12} \geq r\\\frac{27}{12}\geq r\\r\leq \frac{27}{12} \\r\leq \frac{9}{4}\\r\leq 2\frac{1}{4}$

The solution to the inequality is  r less-than-or-equal-to 2 and one-fourth