Question

For which inequality would x = 8 not be a solution?

4x + 3 > 0
9x - 5 < 100
x + 4 ≤ 10
72 ÷ x ≥ 4

Answer 1

Put the value of x to the inequality:

$4x+3 > 0\\L=4(8)+3=32+3=35;\qquad R=0;\qquad L > R\ CORRECT\\\\9x-5 < 100\\L=5(8)-5=40-5=35;\qquad R=100;\qquad 35 < 100\ CORRECT\\\\x+4\leq10\\L=8+4=12;\qquad R=10;\qquad 12 > 10\ INCORECT (\leq)\\\\72\div x\geq4\\L=72\div 8=9;\qquad R=4;\qquad 9\geq4\ CORRECT$

Answer 2

For inequality x + 4 ≤ 10, x=8 is not the solution.

What is inequality?

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

We have four inequalities we will check each inequality by putting the value of x=8.

4x + 3 > 0      :    (4x8)+3>0   ;   35>0   correct

9x - 5 < 100   :    (9x8 - 5)  < 100  :   67<100   corrext

x + 4 ≤ 10       :     (8+4)  ≤  10     :   8    incorrect

72 ÷ x ≥ 4       :    (72/8) ≥   4      :   9 ≥   4   correct

Therefore for inequality x + 4 ≤ 10, x=8 is not the solution.

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