Question

If 9\geq4x+19≥4x+19, is greater than or equal to, 4, x, plus, 1, which inequality represents the possible range of values of 12x+312x+312, x, plus, 3? Choose 1 answer: 12x+3\geq1712x+3≥1712, x, plus, 3, is greater than or equal to, 17 12x+3\leq1712x+3≤1712, x, plus, 3, is less than or equal to, 17 12x+3\geq2712x+3≥2712, x, plus, 3, is greater than or equal to, 27 12x+3\leq2712x+3≤2712, x, plus, 3, is less than or equal to, 27

Answer 1

`12x + 3\leq 27`

Explanation:

∵ 12x + 3 = 3 × 4x + 3 = 3( 4x + 1 ) ( Since, HCF(12, 3) = 3 )

Given inequality,

`9\geq 4x+1`

∵ ∵ a > b ⇒
`ca > cb` if c > 0,

a > b ⇒
`ca < cb` if c < 0,

`\implies 3(9) \geq 3(4x + 1)`

`27 \geq 12x + 3`

`\implies 12x + 3\leq 27`

Hence, LAST option is correct.