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

Respuesta :

Answer:

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

Step-by-step explanation:

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

Step 1: Add [tex]\frac{7}{12}[/tex] to both sides of the equation and sove

[tex]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}[/tex]

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

Answer:

B

Step-by-step explanation: hope that helps!!!