Which of the following is equivalent to the inequality shown below?

4x + 0.9 ≥ 0.1


4x + 9 ≥ 1
4x + 9 ≥ 1

40x + 9 ≥ 1
40x + 9 ≥ 1

40x + 90 ≥ 10
40x + 90 ≥ 10

40x + 90 ≥ 1

Respuesta :

Answer:

[tex]4x + 0.9 \geq 0.1[/tex] is equivalent to the inequality [tex]40x+9 \geq 1[/tex]

Step-by-step explanation:

Given inequality : [tex]4x + 0.9 \geq 0.1[/tex]

We are supposed to find Which of the following is equivalent to the inequality

[tex]4x + 0.9 \geq 0.1[/tex]

[tex]\Rightarrow 4x+\frac{9}{10} \geq \frac{1}{10}[/tex]

Multiply both sides by 10

[tex]\Rightarrow 4(10)x+\frac{9}{10}(10) \geq \frac{1}{10}(10)[/tex]

[tex]\Rightarrow 40x+9 \geq 1[/tex]

[tex]4x + 0.9 \geq 0.1[/tex] is equivalent to the inequality [tex]40x+9 \geq 1[/tex]

So, Option B is true

B) [tex]40x+9 \geq 1[/tex]