Question

(Math Plato)

Answer 1

Answer:

None of them

$x\geq -9$

Step-by-step explanation:

$27$ minus a number $x$ is not more than $36$ translates algebraically to

$27-x\leq 36$

(Not more than $36$ means either $36$ or less than $36$ that's why we have used equal or less than inequality)

$27-x\leq 36$

Subtract 27 from both sides

$-27+27-x\leq 36-27$

$-x\leq 9$

Multiply both sides by -1

Multiplying by -1 will reverse the inequity

$x\geq -9$

Hence values of $x$ equal or greater than $-9$ will satisfy the inequality

Verification:

Lets take $x=-4$

$27-x\leq 36$

$27-(-4)\leq 36$

$27+4\leq 36$

$31\leq 36$ (satisfied)

Lets take $x=2$

$27-x\leq 36$

$27-(2)\leq 36$

$25\leq 36$  (satisfied)