Need help on math question

Question

Eleven is less than thirteen times a number is at most twenty-one more than five times that same number

Create and solve the inequality

Answer 1

Need help on math question

Eleven is less than thirteen times a number is at most twenty-one more than five times that same number

Create and solve the inequality

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With algebra you are working with unknown value/variables......so......

Let x be the unknown number......so....we have....

13x - 11 <= 5x + 21............."at most" translated means....less than or equal to.....

-5x -5x

8x - 11 <= 21

+11 +11

8x <= 32......so......x <= 4.....Check.....this value.....13(4) - 11 <= 5(4) + 21.....52-11 <= 20 + 21.....

41 <= 41........so....as long as x<=4 this inequality is TRUE. Right?

Answer 2

13x-11 < 21+5x

add 11 to both sides

8x < 32

divide both sides by 8

x<4

actually it's x<4

put some less than or equal signs in each line above