Question

this inequality has contains a variable, a choose ALL numbers that make this inequality true plz help usa tesp prep
A:18
B:19
C:20
D:22
E:24

Answer 1

SOLUTION

CORRECT QUESTION

$\sf{3(23 + 18) < 6a}$

This inequality contains a variable, a

Choose ALL numbers that make this inequality true.

A)18

B)19

C)20

D)22

E)24

EVALUATION

Here the given inequality is

$\sf{3(23 + 18) < 6a}$

We now solve for a

$\sf{3(23 + 18) < 6a}$

$\implies \sf{6a > 3(23 + 18)}$

$\implies \sf{6a > 3 \times 41}$

$\implies \sf{2a > 41}$

$\implies \sf{a > 20.5}$

Which is true for a = 22 & a = 24

FINAL ANSWER

Hence the correct options are :

• D) 22

• E) 24

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