Question

Which of the following compound inequalities is false?(1) l< 4 or 3 > 0(3) -2 <0 and 10 > 3(2) 6 <10 or 525(4) -8 < 0 and 5>5

Answer 1

`(4)-8<0and5>5`

Step-by-step explanation

Step 1

`\begin{gathered} 1<4or3>0 \\ \end{gathered}`
`\begin{gathered} 1<4\rightarrow true \\ 3>0\rightarrow true \\ \text{hence} \\ \text{true or true}\rightarrow true \end{gathered}`

so, option 1 is true

Step 2

`\begin{gathered} -2<0\text{ and 10}>3 \\ -2<0\rightarrow true \\ 10>3\rightarrow true \\ \text{true and true}\rightarrow true \end{gathered}`

Step 3

`\begin{gathered} 6<10\text{ or 5}\ge5 \\ 6<10\rightarrow true \\ 5\ge5\rightarrow\text{true} \end{gathered}`

so

`\text{true or true}\rightarrow\text{ true}`

Step 4

finally

`\begin{gathered} -8<0\text{ and 5}>5 \\ -8<0\rightarrow true \\ 5>5\rightarrow false,\text{ 5 is not greater than 5} \\ \text{true and false}\rightarrow false \end{gathered}`

so, the answer is

`\begin{gathered} \mleft(4\mright)-8<0and5>5 \\ \end{gathered}`

I hope this helps you