Question

There are at least 6 tomato plants in Josephine’s garden. She plants 4 more tomato plants. Write and graph an inequality to show the number of tomato plants in her garden.

Answer 1

`n_t \geq 10`

Step-by-step explanation:

Here it is given that there are at least 6 tomato plants in Josephine's garden. And she plants 4 more plants . We would like to plot a graph and write a inequality for the given situation.

Representation :-

`\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(.5,0){17}{\line(0,1){.2}}\put(5,0.1){\vector(-1,0){6}}\put(5.01,0.1){\vector(1,0){4}}\put(-0.5,-0.4){$\sf -2$}\put( 0.2,-0.4){$\sf -1$}\put(.9,-0.4){$\sf 0$}\put(1.4,-0.4){$\sf 1$}\put(1.9,-0.4){$\sf 2$}\put(2.4,-0.4){$\sf 3$}\put(2.9,-0.4){$\sf 4$}\put(3.4,-0.4){$\sf 5$}\put(3.9,-0.4){$\sf 6$}\put(4.4,-0.4){$\sf 7$}\put(4.9,-0.4){$\sf 8$}\put(5.4,-0.4){$\sf 9$}\put(5.8,-0.4){$\sf 10$}\put(6.4,-0.4){$\sf 11$}\put(6.9,-0.4){$\sf 12$}\put(7.4,-0.4){$\sf 13$}\put(7.9,-0.4){$\sf 14$}\put(6,0.1){\circle*{0.2}}\put(6.01,0.4){\vector(1,0){4}}\put(2,2){$\textcopyright\sf RISH4BH $}\end{picture}`

Let the number of tomatoes be represented by
`n_t` .

We can write the first statment in inequality as ,

`\longrightarrow n_t \geq 6`

Since she added 4 more , add 4 to RHS ,

`\longrightarrow n_t \geq 6 + 4`

Simplify,

`\longrightarrow \underline{\underline{\boldsymbol{ n_t \geq 10 }}}`

And we are done!

Answer 2

10 ≤ x ≤ 10

Step-by-step explanation:

• already has 6 tomato plants

• will plant 4 more.

Let the total tomato number be x

so inequality:

6 + 4 ≤ x ≤ 6 + 4

10 ≤ x ≤ 10