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

Answer:

10 ≤ x ≤ 10

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

Answer 2

Answer:

$n_t \geq 10$

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!