Question

Match the correct step number with the statements to find solution to inequation 5x + 6 < 12, for x =1.

• A. step 1
• B. step 3
• C. step 2
• D. step 4

Answer 1

We have to find steps for solving the inequation 5x + 6 < 12

To find the solution to inequation, we have to subtitute the value of x = 1 in the inequation 5x + 6 < 12

∴ Step 1 will be "Put x = 1 in the LHS of the inequation".

Next, on putting x = 1, we will get:
$\text{LHS}=5x+6=5\times 1+6=11$

$\text{∴ Step 2 will be}"5\times 1+6=11"$
$\text{in LHS}$

After putting the value, we observe:
11 < 12

So, LHS < RHS.

∴ Step 3 will be "LHS < RHS"

Finally. we have to write the final value of the solution.

∴ Step 4 will be "x = 1 is the solution."