Question

given the inequality 7x -10< 2x + 25 which of the following is NOT a solution?(1) -4(2) 5(3)7(4) 0

Answer 1

7

Explanation

the easiest way to know if a number is part of the solution is replacing,then

Step 1

replace

a)-4

$\begin{gathered} 7x-10<2x+25 \\ 7\cdot-4-10<2\cdot-4+25 \\ -28-10<-8+25 \\ -38<17\rightarrow true\text{, then (-4) is a solution} \end{gathered}$

b)5

$\begin{gathered} 7x-10<2x+25 \\ 7\cdot5-10<2\cdot5+25 \\ 35-10<10+25 \\ 25<35\rightarrow true,\text{ then 5 is a solution} \end{gathered}$

c)7

$\begin{gathered} 7x-10<2x+25 \\ 7\cdot7-10<2\cdot7+25 \\ 49-10<14+25 \\ 39<39\rightarrow false,\text{ then 7 is not a solution} \end{gathered}$

d)0

$\begin{gathered} 7x-10<2x+25 \\ 7\cdot0-10<2\cdot0+25 \\ 0-10<0+25 \\ -10<25\rightarrow true,\text{ then 0 is a solution} \end{gathered}$

I hope this helps you